Question

PLEASE PLEASE PLEASE HELP :)
Let
f(x)=x2+6
. Find
f(x+h)−f(x)
All divided by (h)
if
h≠0
. Simplify your answer.

Answer 1

f(x)=x2+6
f(x+h)=(x+h)2+6 :Simply replace x with x+h

Answer 2

now you pretty much have everything you need to solve it

Answer 3

can you help me solve it completely please, im really confused on how to solve it fully and then simplify it...

Answer 4

\[\frac{(x+h)^2+6-(x^2+6)}{h}\]

Answer 5

\[\frac{x^2+2xh+h^2+6-x^2-6}{h}\]

Answer 6

\[\frac{2xh+h^2}{h}=2x+h\]

Answer 7

how do you finish that simplification?

Answer 8

it's done unless you are supposed to take the limit as h approaches 0 in which case it is 2x. Are you supposed to find the limit?

Answer 9

And if you are, why didn't you post it?

Answer 10

all it said was to find it if h is not equal to 0

Answer 11

sorry the cross didnt go through the h :(

Answer 12

Then the answer is 2x+h

Answer 13

ah okay, well thank you!

Answer 14

@Mertsj.....why are you squaring x and (x+h)? The original function is 2x+6.

Answer 15

because you wrote x2 and I thought you meant x^2. If you meant 2x, why didn't you write 2x instead of x2?

Answer 16

Ahh....that makes sense. :) I read it as 2x...but maybe he did leave out the ^.

Answer 17

Who is "he"?

Answer 18

The poster of the problem.

Answer 19

im a girl.