Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x^3 + 2.

Answer 1

f(x-2) = (x-2)^3 +2 =x^3-6x^2+12x-8+2
= x^3 - 6x^2 + 12 x + 6
g(x) = that + 4
= x^3 - 6x^2 + 12 x + 10