Question

Find an equation for the inverse of the following relation.

y=2/3 x+5

Please please help

Answer 1

`f^(-1)`(x) =
`(3x-15)/(2)`

Explanation:

Given

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

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

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

Replace x by
`f^(-1)` (x) and y by x, thus

`f^(-1)` (x) =
`(3x-15)/(2)`