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
Name
Date
Score/ 16
Question 1
f(x) = x − 8 and g(x) = 4x + 8. Find f(g(x)) and simplify.
Answer
Question 2
f(x) = x² − 4 and g(x) = 4x + 6. Find f(g(x)) and simplify.
Answer
Question 3
f(x) = 4x and g(x) = x² + 4. Noah says f(g(x)) = 16x² + 4. What is f(g(x)) really?
- A. 4x³ + 4x
- B. 16x² + 4
- C. 4x² + 4
- D. 4x² + 16
Question 4
f(x) = −x − 4 and g(x) = x − 1. Find f(g(x)) and simplify.
Answer
Question 5
f(x) = x² − 5 and g(x) = −3x + 2. Find f(g(x)) and simplify.
Answer
Question 6
f(x) = 2x and g(x) = x² + 3. Hiro says f(g(x)) = 4x² + 3. What is f(g(x)) really?
- A. 2x³ + 3x
- B. 2x² + 3
- C. 4x² + 3
- D. 2x² + 6
Question 7
f(x) = 4x + 1 and g(x) = 3x − 3. Find f(g(x)) and simplify.
Answer
Question 8
f(x) = x² and g(x) = −2x + 6. Find g(f(x)) and simplify.
Answer
Question 9
f(x) = 5x and g(x) = x² + 2. Isla says f(g(x)) = 25x² + 2. What is f(g(x)) really?
- A. 5x³ + 2x
- B. 5x² + 2
- C. 25x² + 2
- D. 5x² + 10
Question 10
f(x) = −2x − 6 and g(x) = 3x. Find f(g(x)) and simplify.
Answer
Question 11
f(x) = x² and g(x) = −x − 6. Find g(f(x)) and simplify.
Answer
Question 12
f(x) = 4x and g(x) = x² + 4. Zara says f(g(x)) = 16x² + 4. What is f(g(x)) really?
- A. 4x² + 16
- B. 4x³ + 4x
- C. 16x² + 4
- D. 4x² + 4
Question 13
f(x) = −5x + 4 and g(x) = 4x + 2. Find f(g(x)) and simplify.
Answer
Question 14
f(x) = x² + 2 and g(x) = −4x − 1. Find f(g(x)) and simplify.
Answer
Question 15
f(x) = 3x and g(x) = x² − 2. Sam says f(g(x)) = 9x² − 2. What is f(g(x)) really?
- A. 3x² − 2
- B. 3x² − 6
- C. 3x³ − 2x
- D. 9x² − 2
Question 16
f(x) = −3x − 6 and g(x) = −2x − 2. Find f(g(x)) and simplify.
Answer
All done? Color in the animal! · Free from eurekami.com/math