2007 paul dawkins 202

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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 ) . Solution 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 1 ( x + 2) = y 3 x2 + =y 33 Finally replace y with f -1 (...
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