Question

Help me please , thanks!!

Answer 1

= -x^2 -10x-26

Explanation:

f(g(x) means put g(x) in for x in the function f(x)

f(x) = -x^(2)-1

f(g(x) = -(g(x))^2-1

We know g(x) = (x+5)

so substitute it in

f(g(x) = -(x+5)^2-1

FOIL

f(g(x) = -(x+5)(x+5)-1

=- (x^2 +5x+5x+25) -1

-(x^2 +10x+25) -1

Distribute the -1

= -x^2 -10x-25-1

= -x^2 -10x-26