Question

Please help on this one?

Answer 1

Inverse function: If a function f(x) is mapping x to y, then the inverse function of f(x) maps back y to x

Given that:
`y = (2)/(3)x -6`

Interchange the variable x and y;

`x = (2)/(3)y -6`

Add 6 to both sides we get;

`x +6= (2)/(3)y -6+6`

Simplify:

`x+6= (2)/(3)y`

Multiply both sides by
`(3)/(2)` we get;

`(3)/(2)(x+6) = y`

or

`y = (3)/(2)x+ 9`

Therefore, the inverse of
`y = (2)/(3)x-6` is,

`y = (3)/(2)x+ 9`