Question

Open study Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x3 + 2.

Answer 1

g(x) = f(x – 2) +4
f(x) = x3 + 2.

hence
$g(x) = [(x-2)^3+2]+4 \\~\\~~~~~~~ = (x-2)^3 + 6$