Example Question 1
Example corresponding to question 6 in college algebra 2.
Example 1
If $g(x)=-2x^2-2x$, then $g(g(-1))=$?
$-1$
$-4$
$4$
$1$
$0$
Solution
This is a composition of functions. We first evaluate $g(-1)$
$g(-1)=-2(-1)^2-2(-1)=-2+2=0$
We now substitute $g(-1)$ by $0$ in $g(g(-1))$
$g(g(-1))=g(0)=-2(0^2)-2(0) = 0$
Answer E