Question

If f (x) = 2x +1 and g(x) = x^2 + 2x + 1, find f (g(x)).

Answer 1

2x² + 4x + 3

Explanation:

Given:

f (x) = 2x +1

g(x) = x² + 2x + 1

to find f(g(x)), simply take the x-terms in f(x) = 2x+1 and replace them with g(x) = x² + 2x + 1

Hence,

f(g(x))

= f(x² + 2x + 1)

= 2(x² + 2x + 1) + 1

= 2x² + 4x + 2 +1

= 2x² + 4x + 3