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keneisha
 2 years ago
What is f(x+h) for the function f(x)=x^3+4x?
keneisha
 2 years ago
What is f(x+h) for the function f(x)=x^3+4x?

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

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

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

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

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

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

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

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

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

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

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

hartnn
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0(x+h) can be factored, but not required...
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