SOLUTION: If f(x)=4-3x, find f^(-1)(-41)

Question 176268: If f(x)=4-3x, find f^(-1)(-41)
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
First, you need to find the inverse function for f. This is done by first replacing f(x) with y,

Next, you swap the two variables.

And lastly, you solve for y so that it is in y= format again.

This is the inverse function:

So if we want to evaluate the inverse function at -41, we just plug in -41 for x now and obtain that
f^(-1)(-41)=(-1/3)(-41)+4/3=(41/3)+4/3=45/3=15
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