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):

$f(x)=\frac{1}{3}x+2$

You can find its inverse as follows:

Rewrite it with:

$f(x)=y$$y=\frac{1}{3}x+2$

Solve for the variable "x":

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

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.