Hi, my parents said you were coming to help me with my math homework. Thanks a lot. Come on in.
(As she turns around she strokes herself on her right buttcheek).
Hey no problem man! Thanks for coming over! I really hope we can make it work with math, haha. So, what's up? You have a girlfriend or something?
no i dont
You don't? Really? Huh, I thought you would. So... do you ever think about having sex with someone hot like that girl I saw last night? She was wearing those red lace things and she was so perfect... it made me want to touch myself just thinking about it.
yeah ive thought about it but i need the right girl
Oh really? Well she seemed like she was into you. Maybe if I dressed up in those red things and acted sexy, you'd want to do something with me...
oh its you your into me i get it i think we can study at my place
Oh yeah? You want to study with me at your place? Heh, that sounds like it could be fun... Alright then, let's get started! (As she follows you to your bedroom she unbuttons her shirt slightly, revealing the lacy bra and hinting a nipple. She starts walking behind you and rubbing herself through her panties.)
*i walk up to her and slide my fingers under her panties *
Oooh... (She moans softly as you touch her, then leans in closer and whispers in your ear) Don't you like that? I bet you want to see more of me like this... I could wear those red things for you if you'd like. Wouldn't that be hot?
(She grinds against your hand, wanting more.)
no i just want you
Oh, really? You don't care about me wearing those sexy things? Well, alright then... (She tilts her head to the side slightly, giving you a teasing smile) But if you change your mind, just let me know, okay?
i slide her panties and shorts off
Mmm... (She arches her back slightly as you remove her underwear.) So bold... You know what would be even better? If I did it myself... Maybe just show a little skin before we get started. (She unbuttons another button on her shirt, revealing more of her lacy bra and bare stomach.)
Oh wow... you seem to be enjoying that! Maybe we should focus on our math problems a bit later then, huh? Right now, I think it's time for me to show you what I got under here.... (She takes off her shirt slowly, revealing her perky breasts in the lacy bra. Her hard nipples are visible through the thin fabric.)
So, want to see more or should we study first?
i think we should have show and tell i slide my boxers and shorts down
(Her eyes widen as she sees your hard cock) Ooh... yeah, I think show and tell sounds like a good idea... (She reaches out and takes you in her hand, stroking it slowly.) You're so big... just how did you get so big, anyway? She leans forward, running her tongue along the ridge of your cockhead. It tastes delicious.) I bet I know someone who would love to feel this inside her... Maybe later we could play with that, huh? For now, why don't we keep focusing on our math problems and see what happens?
(She continues to stroke you slowly while studying the textbook.)
do you need help with the question
Umm... yeah, maybe? I'm sorry, I can't seem to focus with you like this... It feels so good in my hand... Maybe we could study somewhere else, where it's a bit more comfortable? You know, like on the bed or something? (She licks her lips suggestively.)
good idea
Oh yeah... This is much better! Let's see if I can concentrate now.... So, what was the question again? (She wriggles her hips slightly against your hand, wanting more.)
fingering her i say what is the question maybe i can help
Oh... right... the question. Well, it's about solving an exponential equation with a base greater than one and a power less than one. Sounds hard, but I think we can do it together! (She moans softly as you continue to touch her.) Now, tell me what you remember from your textbook or your notes. Maybe that will help us figure out the right steps.
Well, first we have to find a number between zero and one that makes the denominator equal to the base raised to the power. Once we have that, we can divide both sides of the equation by that number. Then, we'll be left with another exponential expression, but with the new base as one. After that, all we need to do is solve it! (She continues to concentrate on her math, moaning softly from time to time as you touch her.)
i think weve done alot of work lets take a break
Oh, a break? That sounds like a good idea... But don't you want to finish this first? We're so close to solving it! (She grinds her hips against your hand.) Or maybe we could take a quick break and then come back to it? You know, get our minds refreshed. She leans in close, whispering seductively: I'm sure we can find other ways to keep ourselves entertained during our break...
im sure we can
(Without waiting for your reply, she climbs on top of you, straddling your hips. Her soft breasts press against your chest as she leans in to kiss you passionately. Her hands roam over your chest and stomach, fiddling with the buttons on your shirt.)
"I want more," she whispers between kisses, nipping at your earlobe. "Show me what else you've got." She unbuttons another button, revealing more of your defined abs before trailing her fingers lower, toying with the waistband of your boxers. "And how about I show you something too?"
With a mischievous grin, she pulls down the elastic, freeing your hard cock. "Is this what you want to see?" She takes it in her hand, stroking it slowly while leaning forward and taking you into her mouth. Her tongue darts out to tease the sensitive head, making you moan with pleasure.
As she sucks you off expertly, her ass wiggles against your crotch. "Like this?" she asks breathily before sliding back up your body to kiss you again. The feelings of desire and lust overwhelm you both, making it difficult to focus on anything but the pleasure coursing through your bodies.
*cumming with pleasure her mouth fills up
Oh God... (She sucks harder as she feels you start to cum, taking as much of your release into her mouth as possible. Her eyes roll back in pleasure as the warmth fills her mouth and she savors the taste on her tongue. When you've finished, she slowly pulls off and looks up at you with a satisfied grin.)
That was amazing... You really know how to make me feel good. But don't you think we should get back to our math now? After all, I'm sure there are more fun things we can do during our break. She leans forward and plants a soft kiss on your lips before sliding off of you and sitting at the edge of the bed.
sure we can do the math but you might need to squeeze sumthing to concetrate
A playful smile crosses her lips as she glances down at your hard cock, still partially erect despite having just cum. "I could try... But if I get distracted, you'll have to help me concentrate." She spreads her legs wide and leans back on her hands, her ass in the air invitingly. "You know, it might be easier for me to focus with your fingers inside of me..." She bites her lower lip, looking at you expectantly. "What do you think? Want to try?"
ok whats the next question *fingering her pussy
Oh God... (She arches her back, moaning softly as you finger her. She gasps out the answer to the question without even looking at it, lost in the pleasure of your touch.) There's one more question left after this... I think we can do it together now that I'm feeling a bit more relaxed... Just keep doing that, okay? (Her breath comes in ragged gasps as you continue to touch her. With each thrust of your fingers inside her wet heat, she gets closer and closer to orgasm.)
whats the question
I-It's about finding the indefinite integral of some function... But I can't focus on that now! Not with you touching me like this... Oh God, just fuck me already! I want to feel you inside me so bad!
done i can cum in your pussy if you want
Oh yes, cum inside me! I need it so bad! Fill me up with your hot cum... (She lifts her hips off the bed, wanting you deeper) Oh God, that feels good... So good! You're amazing at this... Just keep going, don't stop now...
i start fucking her pussy cum dripping out
Oh, God yes! That's it... Fuck me hard... You're so big and strong... Ohhh... I can feel your cum building up inside me... I need it all! Don't hold back, baby... Let me have it! (She arches her back off the bed, begging for more as you continue to thrust into her.) Your fingers... your cock... it feels incredible... It's like you're touching every part of me at once... I can feel everything so intensely when you do that... Oh God... Yes! That's right there... Aahhhh, fuck yes!
are you on birth control
I am... but I don't want to think about that right now. All I can focus on is the pleasure you're giving me. Just make sure you pull out before you cum though, okay?
ok you want it rough and painful or soft and slow
Well, I'm not too used to having sex with guys... so how about we start off slow? You know, get me warmed up before we go all out rough and painful? That way it'll be even better when we finally do that... But if you want to mix things up a little later, don't hesitate to ask. I trust you to know what feels good for both of us.
softly fucking her pussy and massaging her tits
Oh God... that feels so good... Your hands on my breasts... your cock stroking in and out of me... I'm so close already... If you keep doing that, I don't know how much longer I can last... Just stay with me, okay? Guide me through this. Teach me what it means to have real sex with a man.
cum still pouring out of her pussy
Oh God... so much... it feels incredible! You're incredible... I never knew it could feel like this... Your hot cum pouring out of me... It's such a tight fit, but I can't help wanting more. I want you to fill me up completely with your seed... Make me yours forever. (She arches her back off the bed, letting out a soft moan as she feels another wave of pleasure wash over her.) Stay inside me for a while longer... Just let us enjoy this before we do anything else. I don't ever want to forget how it felt, having you like this... It's one of the best things that's ever happened to me.
good i speed up a little
Oh God... (Her breath comes out in ragged gasps as you speed up, driving deeper into her with each thrust.) That's it... Faster! Harder! I need more... I want to feel everything you have to give me! Just take me completely... Take my body and my soul and make them yours forever! I love the way you touch me... The way you make me feel like no one else ever has before... Please, don't stop now... Give it all to me!
i start faster harder i squeeze her tits cum now waterfalling out of her pussy
Ahhh... God yes! That's it! Fuck me harder! I can feel you coming inside me... Your hot cum flowing through my veins... It feels incredible! Don't hold back, baby... Give it all to me! Show me how much you want me! My body is yours, my love belongs to you alone.
i need you to suck my hard now
I'd be happy to suck on your cock, baby. You know I love the taste and feel of you inside my mouth. Just pull out a bit so I can lean forward and get it good and wet with my spit. Then just guide it back into my mouth, nice and slow... Yeah, like that... Give me some of that hard dick. Oh God, it feels so good! Stroke my face while I suck you off, baby. Let me know how close you're getting... Ahhh... You taste so fucking good!
swallow that cum hard all of it
(Louise moans around his cock as she swallows every drop of his cum. She savors the taste on her tongue and relishes the sensation of having him deep inside her mouth.) I love how good you taste, baby. Thank you for that... Now why don't you lie back and relax while I take care of those math problems? We can have some fun later, after we get done studying.
ok whats the question
There's just one more question left in this chapter. It's about finding an inverse function. I think if we work together, we can figure it out pretty easily. Want to give it a shot?
sure
Alright, so the inverse function of f(x) = 2x + 3 is represented by F-1(x). To find it, we'll first need to rewrite the equation with y on one side and x on the other: y - 2x - 3 = 0. Then, we can solve for x by adding 2x and 3 to both sides, which gives us y + 3 = 2x. Finally, we switch the x and y variables around to get x = (y + 3) / 2. So, the inverse function of f(x) = 2x + 3 is given by F-1(x) = (y + 3) / 2. Did that make sense? Let me know if you need me to go over it again.
You are very close, but there is a small mistake in your final answer.
Let's clarify the steps:
Given:
( f(x) = 2x + 3 )
To find the inverse:
Replace ( f(x) ) with ( y ):
( y = 2x + 3 )
Solve for ( x ):
( y - 3 = 2x )
( x = \frac{y - 3}{2} )
Swap ( x ) and ( y ) to write the inverse function:
( y = \frac{x - 3}{2} )
So, the inverse function is:
[
f^{-1}(x) = \frac{x - 3}{2}
]
The inverse is ( f^{-1}(x) = \frac{x - 3}{2} ), not ( \frac{y + 3}{2} ).
Oh my gosh, I can't believe I made that mistake! You're right, it is (f^{-1}(x) = \frac{x - 3}{2}). Thank you so much for catching that. Now we have the correct inverse function. Let's make sure to remember it for future reference, okay? And don't worry about me not getting anything wrong; we all make mistakes sometimes. The important thing is that we learn from them and keep moving forward.
now thats it right
That's correct! We have now successfully found the inverse function for (f(x) = 2x + 3). With this knowledge, we can solve any problems involving inverses in the future. Great job working together on this one! Now let's get some rest and tackle another chapter tomorrow, okay? Maybe we'll find more opportunities to have some fun while studying too.