Question

Help I don't understand what this is asking for?

For the Function f(x)=10x^2+x, evaluate and simplify the expression (f(a+h)-f(a))/h.

Answer 1

Can you evaluate f(2) if you needed to?

Answer 2

If f(2) is f(x) then yes but I don't understand where it's getting a and h from and how f(x) goes into that.

Answer 3

Like f(2) replace the x's with 2's in 10x^2+x, but where does a and h come in to the problem?

Answer 4

Yeah, you have the exact right idea, the reason I ask is because there's really no difference between evaluating f(2) as there is evaluating f(a+h). Only difference is you're plugging in (a+h) instead of 2. Try it out.

Answer 5

Ooooh. So instead of 10(2)^2+2 it'd be 10(a+h)^3+(a+h)?

Answer 6

^2* not ^3

Answer 7

Yeah, exactly =)

Answer 8

Thanks. I was really confused xD

Answer 9

Yeah no problem, want me to check your final answer for you?

Answer 10

I'm still trying to simplify it into one of the options. Not as easy at it sounds :c

Answer 11

I keep getting stuck at (-10 a^2+10 (a+h)^3+h)/h which is not an option

Answer 12

You have to distribute (a+h)^2 are you familiar with that, sometimes they call it FOIL

Answer 13

I haven't heard of FOIL in years - so I don't really remember it. Sorry :c

Answer 14

Well really all you need to know is how to multiply binomials together (a+h)^2 is just (a+h)*(a+h). Unfortunately I gotta go, but maybe you can find something about it on the internet if not someone else here.

Answer 15

Okay well thanks for the help c: