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Write the rule for a composite function

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
f(x) = −x − 8 and g(x) = −x − 1. Find f(g(x)) and simplify.
Answer
2
Question 2
f(x) = 4x and g(x) = x² + 3. Maya says f(g(x)) = 16x² + 3. What is f(g(x)) really?
- A. 4x³ + 3x
- B. 16x² + 3
- C. 4x² + 3
- D. 4x² + 12
Question 3
f(x) = x² − 1 and g(x) = 3x − 5. Find f(g(x)) and simplify.
Answer
Question 4
f(x) = 3x + 7 and g(x) = 3x + 4. Find f(g(x)) and simplify.
Answer
5
Question 5
f(x) = 5x and g(x) = x² + 3. Amara says f(g(x)) = 25x² + 3. What is f(g(x)) really?
- A. 5x² + 15
- B. 5x² + 3
- C. 25x² + 3
- D. 5x³ + 3x
Question 6
f(x) = x² − 4 and g(x) = −3x − 6. Find g(f(x)) and simplify.
Answer
Question 7
f(x) = 3x + 2 and g(x) = x + 4. Find f(g(x)) and simplify.
Answer
8
Question 8
f(x) = 5x and g(x) = x² − 6. Zoe says f(g(x)) = 25x² − 6. What is f(g(x)) really?
- A. 25x² − 6
- B. 5x² − 30
- C. 5x³ − 6x
- D. 5x² − 6
Question 9
f(x) = x² and g(x) = 2x + 5. Find f(g(x)) and simplify.
Answer
Question 10
f(x) = −4x − 8 and g(x) = 4x − 8. Find f(g(x)) and simplify.
Answer
11
Question 11
f(x) = 4x and g(x) = x² + 4. Ben says f(g(x)) = 16x² + 4. What is f(g(x)) really?
- A. 4x³ + 4x
- B. 16x² + 4
- C. 4x² + 16
- D. 4x² + 4
Question 12
f(x) = x² − 4 and g(x) = 3x − 4. Find f(g(x)) and simplify.
Answer
Question 13
f(x) = x − 2 and g(x) = −3x − 8. Find f(g(x)) and simplify.
Answer
14
Question 14
f(x) = 5x and g(x) = x² − 2. Felix says f(g(x)) = 25x² − 2. What is f(g(x)) really?
- A. 5x³ − 2x
- B. 5x² − 10
- C. 5x² − 2
- D. 25x² − 2
Question 15
f(x) = x² − 2 and g(x) = x + 1. Find f(g(x)) and simplify.
Answer
Question 16
f(x) = −5x and g(x) = x + 7. Find f(g(x)) and simplify.
Answer

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