Find the inverse function of f(x)= √(x+4) +7

Question

Find the inverse function of f(x)=
`√(x+4) +7`

Answer 1

`f(x)=√(x+4)+7\\ y=√(x+4)+7\\ y-7=√(x+4)\\ (y-7)^2=x+4\\ x=(y-7)^2-4\\ f^(-1)(x)=(x-7)^2-4\ \text{ for } x\geq4`