8. (f * g)(x) = (f • g)(x) a. True b. False 9. (fog)(x) # (g o f)(x) а. True b. False 10. The function h(x) = g(f(x)) is the composite of f (x) = 6 - x and g(x) = What is the domain of h(x)? а. х <6 b. x > 0 с. —6 <х< 0 d. x < -6 or x > 0 11. If f(x)and g(x) are even functions, then what type of function is y = f(x) – g(x)? a. odd b. even c. neither d. can't be determined

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. (f * g)(x) = (f • g)(x)
a. True
b. False
9. (fog)(x) # (g • f)(x)
a.
True
b. False
1
10. The function h(x) = g(f(x)) is the composite of f(x) = 6 – x and g(x) =
What is the domain of h(x)?
а. X< 6
b. x > 0
с. —6 <х< 0
d. x < -6 or x > 0
11. If f(x)and g(x) are even functions, then what type of function is y = f(x) – g(x)?
а. odd
b. even
C. neither
d. can't be determined
12. If f= {(-2, 5), (1, 4), (3, 9), (11, 3)} and g = {(0, 15), (5, –5), (7, 10), (9, –1)}, what is (g ° (3)?
а. -1
b.11
С. 10
d. 0
13. If f (x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of function
Is y = f(x)g(x)?
а.
Linear
b.quadratic
C.cubic
d. can't be determined
14. To add two functions, you simply add the corresponding y-coordinates to get the combined function
value.
a) True
b) false
15. The zeroes of a function g(x) appear on the graph of f(x)/g(x) as:
a. x-intercepts
b. holes
c. vertical asymptotes
d. b and c
Transcribed Image Text:8. (f * g)(x) = (f • g)(x) a. True b. False 9. (fog)(x) # (g • f)(x) a. True b. False 1 10. The function h(x) = g(f(x)) is the composite of f(x) = 6 – x and g(x) = What is the domain of h(x)? а. X< 6 b. x > 0 с. —6 <х< 0 d. x < -6 or x > 0 11. If f(x)and g(x) are even functions, then what type of function is y = f(x) – g(x)? а. odd b. even C. neither d. can't be determined 12. If f= {(-2, 5), (1, 4), (3, 9), (11, 3)} and g = {(0, 15), (5, –5), (7, 10), (9, –1)}, what is (g ° (3)? а. -1 b.11 С. 10 d. 0 13. If f (x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of function Is y = f(x)g(x)? а. Linear b.quadratic C.cubic d. can't be determined 14. To add two functions, you simply add the corresponding y-coordinates to get the combined function value. a) True b) false 15. The zeroes of a function g(x) appear on the graph of f(x)/g(x) as: a. x-intercepts b. holes c. vertical asymptotes d. b and c
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