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Common Core HSF.BF.A.1.C worksheet

High school · 16 questions · Common Core: HSF.BF.A.1.C, HSF.BF.B.4 · England: GCSE Higher Algebra

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Question 1
f(x) = 5x − 6 and g(x) = x² + 1. Find f(g(4)).
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Question 2
f(x) = x − 5 and g(x) = 4x + 2. Find g(f(x)) and simplify.
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Question 3
f(x) = −3x + 3 and g(x) = x² − 3. Find f(g(−4)).
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4
Question 4
f(x) = 2x and g(x) = x² + 5. Noah says f(g(x)) = 4x² + 5. What is f(g(x)) really?
- A. 2x² + 5
- B. 2x² + 10
- C. 2x³ + 5x
- D. 4x² + 5
Question 5
f(x) = −4x − 5 and g(x) = −x + 6. Find f(g(x)) and simplify.
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Question 6
f(x) = 8x + 3. Find the inverse function f⁻¹(x).
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Question 7
x: 1, 2, 3, 4, 5 f(x): 4, 3, 5, 2, 1 g(x): 4, 3, 5, 2, 1 Find f(g(2)).
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Question 8
f(x) = x² + 4 and g(x) = −x − 3. Find f(g(x)) and simplify.
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Question 9
f(x) = 3x − 3 and g(x) = x² + 1. Find f(g(0)).
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Question 10
f(x) = x + 3 and g(x) = 4x − 3. Find f(g(x)) and simplify.
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Question 11
f(x) = −5x − 3 and g(x) = x² − 5. Find g(f(4)).
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12
Question 12
f(x) = 5x and g(x) = x² + 4. Sofia says f(g(x)) = 25x² + 4. What is f(g(x)) really?
- A. 5x³ + 4x
- B. 25x² + 4
- C. 5x² + 4
- D. 5x² + 20
Question 13
f(x) = x − 8 and g(x) = −4x − 8. Find f(g(x)) and simplify.
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Question 14
f(x) = 5x + 1. Find the inverse function f⁻¹(x).
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Question 15
x: 1, 2, 3, 4, 5 f(x): 5, 4, 3, 2, 1 g(x): 3, 2, 1, 5, 4 Find f(g(4)).
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Question 16
f(x) = x² + 5 and g(x) = −2x − 6. Find f(g(x)) and simplify.
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Answer key: Common Core HSF.BF.A.1.C worksheet