Question

Find an equation for the inverse for each of the following relations. y= (2/3)x-5

Answer 1

y = 3/2x + 15/2

or

y =
`(3x+15)/(2)`

Explanation:

To solve inverse functions, switch the x and y in the equation, then

solve for y.

original equation :

y = (2/3)x - 5

switch x and y

x = (2/3)y - 5

add 5 to both sides

x + 5 = (2/3)y

Multiply both sides by the reciprical of (2/3)

(3/2)(x+5) = (3/2)(2/3)y

distribute and simplifiy

(3/2x +15/2) = y

or

y = (3/2x) +(15/2)