f(x)= radical sign (x + 4)-5 for the domain [-4, ∞)

Question

Find f^-1(x) where f−1 is the inverse of f

Also state the domain of f^-1 in interval notation

f^-1(x) = _ for the domain _

Answer 1

Exchange the roles of x and y and solve for y

x = sqrt(y+4) - 5

(x+5)² = y + 4

y=(x+5)² - 4 for x≥-5 is the inverse

You should graph these2 functions and see that they are symmetric with respect to the graph of y=x.