Question

Which of the following is the inverse of the function y=lnx9?

Answer 1

Given

`y=lnx^9`

We can find the inverse below.

Step-by-step explanation

`\begin{gathered} y=lnx^9 \\ swap\text{ x and y} \\ x=lny^9 \\ therefore; \\ x=9lny \\ lny=(x)/(9) \\ e^(lny)=(x)/(9) \\ y=e^{(x)/(9)}\Rightarrow y^(-1)=e^{(x)/(9)} \end{gathered}`

Answer: Option D