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Unformatted text preview: re going to be looking at in this section if one is true then the other will also be true. However, there are functions (they are far beyond
the scope of this course however) for which it is possible for only of these to be true. This is
brought up because in all the problems here we will be just checking one of them. We just need
to always remember that technically we should check both.
Let’s work some examples. Example 1 Given f ( x ) = 3x - 2 find f -1 ( x ) .
Now, we already know what the inverse to this function is as we’ve already done some work with
it. However, it would be nice to actually start with this since we know what we should get. This
will work as a nice verification of the process.
So, let’s get started. We’ll first replace f ( x ) with y. y = 3x - 2
Next, replace all x’s with y and all y’s with x. x = 3y - 2 Now, solve for y. © 2007 Paul Dawkins 199 http://tutorial.math.lamar.edu/terms.aspx College Algebra x + 2 = 3y
( x + 2) = y
Finally replace y with f -1 (...
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- Spring '12