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