Question

find f^-1(x) of the equation. Will write the equation below:

Answer 1

\[f(x)=-1+4\sqrt{8x-1} \] on the domain x>1/8

Answer 2

\[x=-1+4\sqrt{8y-1}\] solve for \(y\) which should not take too many steps

Answer 3

before we begin, is it
\[\sqrt[4]{8x+1}\] or
\[4\sqrt{8x+1}\]?

Answer 4

the second one

Answer 5

ok

Answer 6

\[x=-1+4\sqrt{8y-1}\\
x+1=4\sqrt{8y-1}\\
\frac{x+1}{4}=\sqrt{8y-1}\\
\left(\frac{x+1}{4}\right)^2=8y-1\]

Answer 7

done in two more steps, add 1, divide by 8

Answer 8

like that?