combining functions

Question

Find (f∘g)(2) for the following functions.

f(−9)=−13 and g(2)=−9

(f*g)(2)=???

Answer 1

By definition of composite function:

(f∘g)(x) = f(g(x))

Given: f(−9)=−13 and g(2)=−9

(f∘g)(2) = f(g(2))

= f(-9)

=-13

Therefore: (f∘g)(2) = -13