SOLUTION: Confirm that the function f(x) = 3x + 2, and g(x) = (x-2)/(3) are inverses.

Question 288687: Confirm that the function f(x) = 3x + 2, and g(x) = (x-2)/(3) are inverses.
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
To find the inverse of a function, you simply swap its x and y values, and then solve for y.

Let's find the inverse of f(x)=3x+2. First, rewrite it as y=3x+2
Now swap:

x=3y+2

Now solve for y:

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

This is equal to g(x), so yes, g(x) is the inverse of f(x).
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