Question

Find the inverse of h(x)=(2x-4)/3

Answer 1

H^-1 (x)= 3x+4/2

Explanation:

Took the test

Answer 2

The inverse of the h(x) is
`h^(-1)(x)=(3x)/(2)+2` Explanation:

Given : Expression
`h(x)=(2x-4)/(3)`

To find : The inverse of the expression ?

Solution :

Expression
`h(x)=(2x-4)/(3)`

Let, h(x)=y then
`y=(2x-4)/(3)`

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

`x=(2y-4)/(3)`

Solve for y by cross multiply,

`3x=2y-4`

Adding 4 both side,

`3x+4=2y`

Dividing by 2 both side,

`(3x+4)/(2)=y`

Therefore, The inverse of the h(x) is
`h^(-1)(x)=(3x)/(2)+2`