Question

Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following.

4. h(f(x))
5. f(f(x))
6. h o g(x) II.

Answer 1

4.
h(f(x)=h(2x-1)=
(2x-1)^2+1=
4x²-4x+1+1=
4x²-4x+2

5.
f(f(x))=2(2x-1)-1=4x-2-1=4x-3

6.
f o g (x)=f(g(x))
h o g (x)=h(g(x))=
(3x)^2+1=
9x²+1