Function Composition Practice
Practice worksheet for understanding and performing function composition at a Grade 9 level.
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Function Composition Practice
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Read each question carefully and perform the indicated function composition. Show all your work.
Given f(x) = 2x + 1 and g(x) = x - 3, find the following:
1. (f o g)(x)
2. (g o f)(x)
3. (f o g)(5)
Complete the following statements:
1. The notation (f o g)(x) means f( ).
2. To evaluate (g o f)(x), you first apply the function and then apply the function .
3. If f(x) = x² and g(x) = x + 1, then (f o g)(x) = .
1. Given f(x) = 3x - 2 and g(x) = x + 4, what is (f o g)(x)?
3x + 10
3x + 2
3x² + 10x - 8
3x - 2
2. If f(x) = x² and g(x) = x - 1, which of the following is (g o f)(x)?
x² - 1
(x - 1)²
x² - 2x + 1
x³
Given f(x) = x + 3 and (f o g)(x) = 2x + 5, find g(x).