Need help with this ASAP

Question

Assuming a restricted domain in which the inverse is a function, find the inverse of the function

g(x) = 2(x+1)^2 -3

Answer 1

g(x) = 2(x + 1)² - 3

x = 2(g^-1(x) + 1)² - 3

x + 3 = 2(g^-1(x) + 1)²

(x + 3) / 2 = (g^-1(x) + 1)²

√[(x + 3) / 2] = g^-1(x) + 1

√[(x + 3) / 2] -1 = g^-1(x)