Question

Which of the following expressions is the inverse of the function y=x-2/3 A: y=3x+2 B: y=2x+3 C: y =x-3/2 D: y=x+2/3

Answer 1

The answer is A)y=3x+2

Answer 2

The inverse of the function y=x-2/3 is y=x+2/3.

Explanation:

For obtain the inverse of a function we need to solve for the x variable and then exchange x variable for y variable in the new function:

`y=x-2/3`

`y+2/3=x`

`x+2/3=y`

Finally, the function is written as:

`y=x+2/3`