Answer:
[tex]g(g(-1))=-125[/tex]
Step-by-step explanation:
We are given the function:
[tex]g(x)=-5x^2[/tex]
And we want to find:
[tex]g(g(-1))[/tex]
First, we will evaluate the inner function. So:
[tex]g(-1)=-5(-1)^2=-5[/tex]
Therefore:
[tex]g(g(-1))=g(-5)[/tex]
Evaluate:
[tex]g(-5)=-5(-5)^2=-5(25)=-125[/tex]
Therefore:
[tex]g(g(-1))=-125[/tex]
