Question

Given f(x) = x - 2 and g(x) = x^2 + 2, find (fog)(x)

Answer 1

(f ￮ g)(x) = x²

Explanation:

to find (f ￮ g)(x) , substitute x = g(x) into f(x)

(f ￮ g)(x)

= f(g(x) )

= f(x² + 2)

= x² + 2 - 2

= x²