Question

How do you find `[fog](x)` and `[gof](x)` given `f(x)=2x` and `g(x)=x^3+x^2+1`?

Answer 1

See below

Explanation:

`fg(x)=f(x^3+x^2+1)=2x^3+2x^2+2`

`gf(x)=g(2x)=(2x)^3+(2x)^2+1=8x^3+4x^2+1`