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Composite Functions (Basic)
Contributed by: Sexton
  • 1. f(x) = 3x + 5 Calculate f(2)
A) 13
B) 10
C) 11
D) 12
  • 2. g(x) = x2 + 3x Calculate g(-3)
A) -4
B) 1
C) 5
D) 0
  • 3. f(x) = 7x - 4 If f(x) = 10 Calculate x
A) 1
B) 0
C) 3
D) 2
  • 4. h(x) = 2x3 + 5 If h(x) = 3 Calculate x
A) -1
B) 3
C) 1
D) -2
  • 5. f(x) = 5x -2 Give a formula for f(2x)
A) f(2x) = 10x - 2
B) f(2x) = 10x
C) f(2x) = 5x - 4
D) f(2x) = 5x -2
  • 6. g(x) = 3x + 4 Give a formula for g(2x -3)
A) g(2x -3) = 2x + 1
B) g(2x -3) = 6x - 5
C) g(2x -3) = 6x + 1
D) g(2x -3) = 2x - 5
  • 7. f(x) = 2x + 5 Using the domain of {-3, -2, -1, 0, 1, 2} Give the range
A) {-3, -2, -1, 0, 1, 2}
B) {-1, 0, 1, 2, 3,5}
C) {-1, 1, 3, 5}
D) {-1, 1, 3, 5, 7, 9}
  • 8. f(x) = x2 + x - 3 Using the domain of {-2, -1, 0, 1, 2} Give the range
A) {-1, -3, 0}
B) {-1, -3, 3}
C) {-4, -3, -2, -1, 0}
D) {-2, -1, 0, 1, 2}
  • 9. Using f(x) = 3x + 1 with a range of {1, 4, 7, 10} Give the domain that was used
A) {-1, 2, 5, 8}
B) {1, 2, 3, 4}
C) {0, 1, 2, 3}
D) {0, 3, 6, 9}
  • 10. g(x) = 3x2 Give aformula for g(2x - 3)
A) g(2x - 3) = 5x2 - 4x + 10
B) g(2x - 3) = 6x2 - 2x - 3
C) g(2x - 3) = 12x2 - 36x + 27
D) g(2x - 3) = 4x2 - 12x + 9
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