Question

If f(x) = 2x + 1 and g(x) = x^2, the function (gοf)(x) is:

Answer 1

4x² + 4x + 1

Explanation:

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

g(f(x))

= g(2x + 1)

= (2x + 1)² ← expand using FOIL

= 4x² + 4x + 1