SOLUTION: find the inverse of the function f(x)=3x-1/4

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Question 760954: find the inverse of the function f(x)=3x-1/4
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=3x-1%2F4
Let us substitute y for f%28x%29: y=3x-1%2F4
To find the inverse of a function, we switch x and y and then solve for the new y. Let us then switch the variables: x=3y-1%2F4
Now solve for y. Add 1%2F4 to both sides: x%2B1%2F4=3y
Divide both sides by 3: x%2F3%2B1%2F12=y
Therefore, the inverse function is y=x%2F3%2B1%2F12, or f%5E-1%28x%29=x%2F3%2B1%2F12 (f%5E-1%28x%29 means the inverse function).