Write an equation for the inverse function. State the domain of the inverse.

Question

write an equation for the inverse function and state the domain of the inverse.

F(x)= (x+4)^2 - 3

Answer 1

To find the inverse of y = (x+4)²-3, just swap x and y and solve for y.

x = (y+4)²-3

(y+4)² = x+3

y+4 = ±√(x+3)

y = F^-1(x) = ±√(x+3) - 4

The domain of the inverse function is the range of the original function.