Question

If f(x) = 3x-1 and g(x) = x^2+2, what is (f ° g)(x)?

Answer 1

(f ○ g)(x) = 3x² + 5

Explanation:

substitute x = g(x) into f(x) , that is

(f ○ g)(x)

= f(g(x))

= f(x² + 2)

= 3(x² + 2) - 1

= 3x² + 6 - 1

= 3x² + 5