Question

What is the inverse of f(x) = 1/3x +2?oh(x) =- *x+2O h(x) =-X-2O h(x) = 3x - 2O h(x) = 3x - 6

Answer 1

Having the function f(x):

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

You can find its inverse as follows:

Rewrite it with:

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

Solve for the variable "x":

`\begin{gathered} y-2=(1)/(3)x \\ 3(y-2)=x \\ x=3y-6 \end{gathered}`

Now you have to exchange the variables:

`y=3x-6`

Finally, rewrite h(x)=y:

`h(x)=3x-6`

The answer is the LAST OPTION.