Question

Which of the following is the inverse of y = 2/3x + 1

Answer 1

`x = (3)/(2)\cdot y - (3)/(2)`

Explanation:

The inverse of the linear function is found by algebraic manipulation:

`y = (2)/(3)\cdot x + 1`

`y - 1 = (2)/(3)\cdot x`

`(3)/(2)\cdot (y-1) = x`

`x = (3)/(2)\cdot (y-1)`

`x = (3)/(2)\cdot y - (3)/(2)`

Answer 2

Y=3/2x - 3/2

Explanation:

To find the inverse, switch the x and y in the equation. Then solve for y.

Y=2/3x+1

X=2/3y+1

X-1=2/3y

3/2(x-1)=y

3/2x-3/2=y