Answer: g(f(x)) = 3x² + 6x - 11
Step-by-step explanation:
f(x) = x² + 2x - 4
g(x) = 3x + 1
g(f(x)) = g( x² + 2x - 4)
= 3( x² + 2x - 4) + 1 replaced x with x² + 2x - 4
= 3x² + 6x - 12 + 1 distributed 3 into x² + 2x - 4
= 3x² + 6x - 11 simplified (-12 + 1 = -11)
