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Coolmath Algebra
Inverse Functions Lesson 3 - Composition of Functions (page 3 of 7)
---- This algebra lesson explains how to do composition of functions

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TRY IT:

Given f( x ) = x^3 - 6x^2 - 5

f( blob ) =

f( g( x ) ) =


OK, so what if you had this:

f( x ) = 2x^2 + 5 ... f( blob ) + 2( blob )^2 + 5

Now, what if I told you to replace the word "blob" with "x+3" ?

blob = x + 3

f( blob ) = 2( blob )^2 + 5 ... f( x + 3 ) = 2( x + 3 )^2 + 5

This is the game!  First, we do the blob thing.  Then, we get with the notation and put the g(x) in...  Then, we replace that g(x) with whatever g(x) really is.  Don't worry.  It's easy!

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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