Question

If f(t)=t^3 +2, g(x)=2x+3, p(x)=(f(g(x)), and r(t)=f(g(t)). Compute r(-2).

Answer 1

r(t) = f(g(t))
r(-2) = f(g(-2))
g(x) = 2x + 3
g(-2) = ?
Then put that number you find in the previous step in f(?) and evaluate it.

Answer 2

g(-2)=-1
f(-1) = (-1)^3 +2 =1

Answer 3

Yes.

Answer 4

so r(-2)=1?

Answer 5

Yes.

Answer 6

Thanks a lot!

Answer 7

You are welcome.