Glencoe Precalculus

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Example 1
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Example 2
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Example 4
Decompose a Composite Function
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Example 4
Decompose a Composite Function
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Example 4
Decompose a Composite Function
h (x) 3x2 12x 12 Notice that h is
factorable. 3(x2 4x 4) or 3(x 2) 2
Factor.
One way to write h (x) as a composition is to let
f (x) 3x2 and g (x) x 2.
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Example 4
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Example 5
Compose Real-World Functions
B. COMPUTER ANIMATION An animator starts with an
image of a circle with a radius of 25 pixels. The
animator then increases the radius by 10 pixels
per second. Find A ? R. What does the function
represent?
A ? R AR(t) Definition of A ? R A(25
10t) Replace R (t) with 25 10t. ?(25
10t)2 Substitute (25 10t) for R in A(R).
100?t 2 500?t 625? Simplify.