Question

Find f(g(x)) if f(x) = 3x + 1 and g(x) = x2 - 1.

Answer 1

Substitute g(x) into f(x) every place you see an x

3(g(x) )+1

3(x^2-1) +1

distribute

3x^2 -3 +1

combine like terms

3x^2 -2

Answer: 3x^2 -2