Question

I need to use Multi-Step function inverse to find the following:

Answer 1

`f^(-1)(x) = \sqrt[5]{(x+7)/(9) -10}`

Step-by-step explanation:

given : f(x) = 9(
`x^5` + 10 ) - 7

replace x and y with each other.

• x = 9(
  `y^5` + 10 ) - 7

solve for y

• x + 7 = 9(
  `y^5` + 10 )

• (
  `y^5` + 10 ) =
  `(x + 7)/(9)`
• 
  `y^5` + 10 =
  `(x + 7)/(9)`

• 
  `y^5` =
  `(x + 7)/(9)` - 10

• y =
  `\sqrt[5]{(x+7)/(9) -10}`

Therefore,

• 
  `f^(-1)(x) = \sqrt[5]{(x+7)/(9) -10}`