Question

If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]

Answer 1

-x^2-10x-26

Explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5

f(g(x)) = Plug g(x) in for x in f(x)

= -(x+5)^2 -1

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

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

=-x^2-10x-26