Question

I need to multi-step function inverse, photo included

Answer 1

Answer:

$f^{-1} = (9x + 1)^{7}$

Step-by-step explanation:

$y\:=\:\frac{x^{\frac{1}{7}}-1}{9}$

replace x with y:

$x=\frac{y^{\frac{1}{7}}-1}{9}$

solve for y:

$9x=y^{\frac{1}{7}}-1}$

$9x + 1 = y^{\frac{1}{7} }$

$y = (9x + 1)^{7}$

therefore:

$f^{-1} = (9x + 1)^{7}$