Answer:
[tex](g\circ f)(-1)=36[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]
And we want to find:
[tex](g\circ f)(-1)[/tex]
This is equivalent to:
[tex]=g(f(-1))[/tex]
So, evaluating f(-1) first, we acquire:
[tex]f(-1)=-(-1)+5=6[/tex]
Then by substitution:
[tex]=g(6)[/tex]
So:
[tex]=(6)^2=36[/tex]
Therefore:
[tex](g\circ f)(-1)=36[/tex]
Your answer is indeed correct.
