Question

What is the inverse of the function below?

f(x)=2x+12/5
A.) f^-1(x)=5/2x+12
B.) f^-1(x)=5/2x-6
C.) f^-1(x)=-2x-12/5
D.) f^-1(x)=14/5x

Answer 1

I hope this helps you

Answer 2

Option B is the correct answer.

Explanation:

`\texttt{We have }f(x)=y=(2x+12)/(5)`

Finding inverse,

`y=(2x+12)/(5)\\\\5y=2x+12\\\\2x=5y-12\\\\x=(5y-12)/(2)\\\\f^(-1)(x)=(5x-12)/(2)=(5)/(2)x-6`

Option B is the correct answer.