Question

Hi, could you help me find the inverse of the function f(x) = -3/8 x^7?

Answer 1

Given:

`f(x)=-(3)/(8)x^7`

Find: the inverse of a function.

Step-by-step explanation: the function is

`\begin{gathered} f(x)=-(3)/(8)x^7 \\ y=-(3)/(8)x^7 \\ x=-(3)/(8)y^7 \\ -(8)/(3)x=y^7 \\ y=(-(8)/(3)x)^{(1)/(7)} \end{gathered}`

Final answer: the required answer is

`f^(-1)(x)=(-(8)/(3)x^{)(1)/(7)}`