Question

Find a formula for the inverse of the function and the domain of the inverse function f(x)=4+sqrt(2+11x).

Answer 1

i found the inverse to be 1/11(x^2-8x+14). but the domain wont work for me. my domain was (-infinity,infinity)

Answer 2

domain of \(f(x)=4+\sqrt{2+11x}\) is found by solving
\[2+11x\ge0\] range is \(y\geq 4\) since \(\sqrt{2+11x}\geq 0\)

Answer 3

domain of \(f^{-1}\) is the range of \(f\)

Answer 4

thanks