A community for students.
Here's the question you clicked on:
 0 viewing
keneisha
 3 years ago
What is f(x+h) for the function f(x)=x^3+4x?
keneisha
 3 years ago
What is f(x+h) for the function f(x)=x^3+4x?

This Question is Closed

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0to get f(x+h), just replace all 'x' in f(x) by 'x+h'

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0example if f(x) = x^2+10 x f(x+h) will be (x+h)^2 + 10(x+h) note that i have replaced ALL 'x' in f(x) by x+h

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0so, can you try replacing 'x' in f(x) by x+h for your question, x^3+4x ?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0\[f(\color{#C00}x) = \color{#C00}x^3 + 4\color{#c00}x \\ f(\color{#C00}h) = \color{#c00}h^3 + 4 \color{#C00}h \\ \vdots \]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0wherever you 'see' x, just replace it by 'x+h' one more try , maybe ?

keneisha
 3 years ago
Best ResponseYou've already chosen the best response.2is that right now?????

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0now, can you expand (x+h)^3 ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0use \((a+b)^3 = a^3+3a^2b+3ab^2+b^3\)

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Just replace \(a\) by \(x\) and \(b\) by \(h\).

keneisha
 3 years ago
Best ResponseYou've already chosen the best response.2x^3+2hx^2+2hx+hx^2+2h^2x+2h^2

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Uh, that is expanded a little too much.

keneisha
 3 years ago
Best ResponseYou've already chosen the best response.2x^3+3hx^2+2h^x+2h^2+2hx

keneisha
 3 years ago
Best ResponseYou've already chosen the best response.2wheere will i get that h^3

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0you'll have only 4 terms from that formula, right ?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Four completely simplified terms.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0\((a+b)^3 = a^3+3a^2b+3ab^2+b^3\) from the last term b^3 of above

keneisha
 3 years ago
Best ResponseYou've already chosen the best response.2is that right now. . .

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0so, you have (x+h)^3+4(x+h) =x^3+3x^2h+3xh^2+h^3 +4x+4h i think no further simplification possible, thats your final answer...

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.0(x+h) can be factored, but not required...
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.