Question

If f(x) = x2, and
g(x) = x – 1, then
f(g(x)) = [? ]x2+[?]+ [?]

Answer 1

f(g(x)) = x² - 2x + 1

Explanation:

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

f(g(x))

= f(x - 1)

= (x - 1)² ← expand using FOIL

= x² - 2x + 1