Question

What is the inverse of f(x) = (1/3)x+ 2?3h(x) = x+23h(x) = ¹ x - 23h(x) = 3x - 2h(x) = 3x - 6

Answer 1

To find the inverse of f(x)=(1/3)x+2

Step-by-step explanation:

First step, Substitute f(x)=y, we get

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

Second step, change the variable x to y and y to x, we get,

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

Solve for y, we get

`x-2=(1)/(3)y`
`y=3x-6`

y is the required inverse function.

Consider y=h(x)

`h(x)=3x-6`

Answer is:

`h(x)=3x-6`