12 HL Composite Functions Homework

Let $f(x)=x^2$ and $g(x)=x-1$.

1. Find the range of $f$ and $g$, assuming the domain for both is $\mathbb{R}$.
2. Find the range of $f$ and $g$, assuming the domain for both is $[-2,\infty[$.
3. Find the value of each of the functions below when $x=4$.
   a) $f\circ g$
   b) $g\circ f$
4. Find the range of each of the functions in Question 3.