Question

I need to multi-step function inverse, photo included

Answer 1

`f^(-1) = (9x + 1)^(7)`

Explanation:

`y\:=\:\frac{x^{(1)/(7)}-1}{9}`

replace x with y:

`x=\frac{y^{(1)/(7)}-1}{9}`

solve for y:

`9x=y^{(1)/(7)}-1}`

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

`y = (9x + 1)^(7)`

therefore:

`f^(-1) = (9x + 1)^(7)`