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

The inverse of this function is f(x) = 3x - 6.

You can find the inverse of any function by switching the f(x) and x values. Once you've done that, solve for the new f(x). The result will be the inverse function. The step-by-step process is below.

f(x) = 1/3x + 2 ---> Switch f(x) and x values

x = 1/3f(x) + 2 ---> Subtract 2 from both sides

x - 2 = 1/3f(x) > Multiply both sides by 3

3(x - 2) = f(x) > Distribute the 3

3x - 6 = f(x) > Place in the proper order for formatting purposes

f(x) = 3x - 6

And that is your inverse function.