Question

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

Answer 1

Answer:

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

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 ) = $\frac{x + 7}{9}$
• $y^5$ + 10 = $\frac{x + 7}{9}$

• $y^5$ = $\frac{x + 7}{9}$ - 10

• y = $\sqrt[5]{\frac{x+7}{9} -10}$

Therefore,

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