Evaluate composite functions f(g(a))
10th grade (Year 11 in England) · 16 questions · Common Core: HSF.BF.A.1.C · England: GCSE Higher Algebra
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Date
Score/ 16
Question 1
x: 1, 2, 3, 4, 5 f(x): 1, 2, 4, 5, 3 g(x): 5, 4, 1, 2, 3 Find f(g(2)).
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Question 2
f(x) = −2x − 5 and g(x) = x² − 4. Find f(g(−2)).
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Question 3
x: 1, 2, 3, 4, 5 f(x): 1, 3, 4, 2, 5 g(x): 1, 2, 3, 4, 5 Find f(g(3)).
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Question 4
f(x) = x and g(x) = x² + 1. Find f(g(−4)).
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Question 5
x: 1, 2, 3, 4, 5 f(x): 4, 2, 1, 3, 5 g(x): 5, 1, 2, 4, 3 Find f(g(2)).
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Question 6
f(x) = 4x − 2 and g(x) = x² + 3. Find g(f(2)).
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Question 7
x: 1, 2, 3, 4, 5 f(x): 2, 5, 4, 1, 3 g(x): 4, 5, 2, 3, 1 Find f(g(1)).
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Question 8
f(x) = −x + 8 and g(x) = x² − 1. Find f(g(1)).
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Question 9
x: 1, 2, 3, 4, 5 f(x): 4, 3, 5, 1, 2 g(x): 2, 1, 4, 3, 5 Find f(g(4)).
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Question 10
f(x) = −5x − 3 and g(x) = x² + 4. Find g(f(−4)).
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Question 11
x: 1, 2, 3, 4, 5 f(x): 1, 2, 5, 4, 3 g(x): 3, 4, 2, 5, 1 Find f(g(1)).
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Question 12
f(x) = −4x − 7 and g(x) = x² + 3. Find f(g(3)).
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Question 13
x: 1, 2, 3, 4, 5 f(x): 1, 4, 3, 5, 2 g(x): 5, 3, 4, 2, 1 Find f(g(4)).
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Question 14
f(x) = 3x + 8 and g(x) = x² − 5. Find f(g(2)).
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Question 15
x: 1, 2, 3, 4, 5 f(x): 1, 4, 5, 3, 2 g(x): 2, 5, 4, 1, 3 Find f(g(3)).
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Question 16
f(x) = −4x + 6 and g(x) = x² + 5. Find f(g(3)).
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