Question

Determine a function f such that h(x)=f(g(x)), where g(x)=x+2 and h(x)=(x+2)^2.

f(x)=_____________.

Please explain? Thank youuu :)

Answer 1

What happens to go from (x+2) to (x+2)^2?

Answer 2

it gets squared?

Answer 3

So what does your f(x) need to look like?

Answer 4

If g(x) = x+2

f(g(x)) = (x+2)^2

then f(x) = ...?

Answer 5

f(x)=(x+2)^3 ? :/

Answer 6

What if

f(x) = x^2

f(x+2) = ...?

Answer 7

x^2 + 2 ?

Answer 8

No... you just did a bunch of these, I'm sure you can find that.

Answer 9

okay... umm f(x)=x^2

f(x+2)= (x+2)^2 ?

Answer 10

wait so is that the final answer? :o

Answer 11

Well what does f(x) have to be?

Answer 12

h(x)=f(g(x)), where g(x)=x+2 and h(x)=(x+2)^2.

f(x) = ...?

Answer 13

f(x) has to be x^2 ?

Answer 14

Yes.

Answer 15

thanks again!! :)