1. Given f(x) = 2x + 3 and g(x) = x² - 1, what is (f» g)(x)? A. 2x+ 5x + 2 B. x² +2x + 3 6. 2. If f(x) = 3x -2 and g(x) = 2x + 5, what is the value of (f + g)(4)? A. 20 B. 22 3. Given h(x) = x² - 3x and k(x) = 4x + 1, find (h-k)(3). A. -8 B. -7 4. What is the inverse of the function f(x) = 4x + 7? A. f'(x)=(x-7)/4 B. f'(x) = 4x - 7 5. Given f(x) = (x) and g(x) = x², what is (fog)(x)? A. |x²| B. x/2 What is the composition of the functions f(x) = 3x² and g(x) = √x? A. f(g(x)) = 3√x B. f(g(x)) = √√3x² 7. If h(x) = 2x + 5 and k(x) = x³, what is (hk)(x)? A. 2x³ +5 B. 2x³ + 15 8. What is the composition of the functions f(x) = 2x and g(x) = x² + 1? A. f(g(x)) = 2x² + 2 B. f(g(x)) = 2x² 9. Given f(x)=e* and g(x) = ln(x), what is (gof)(x)? A. In(e) B. In(xe) C. 2x² + 4x +3 D. 2x² + 1 C. 21 D. 23 C.-4 D. -13 C. f'(x)= (x + 7)/4 D. f'(x) = (x-4)/7 C. x² D. X C. g(f(x)) = 3x D. g(f(x)) = √√3x² C. 2x³ + 10 D. x³ +5 C. g(f(x)) = 2x + 1 D. g(f(x)) = x² + 2 C.erlxx)) D. e(xin(x))
1. Given f(x) = 2x + 3 and g(x) = x² - 1, what is (f» g)(x)? A. 2x+ 5x + 2 B. x² +2x + 3 6. 2. If f(x) = 3x -2 and g(x) = 2x + 5, what is the value of (f + g)(4)? A. 20 B. 22 3. Given h(x) = x² - 3x and k(x) = 4x + 1, find (h-k)(3). A. -8 B. -7 4. What is the inverse of the function f(x) = 4x + 7? A. f'(x)=(x-7)/4 B. f'(x) = 4x - 7 5. Given f(x) = (x) and g(x) = x², what is (fog)(x)? A. |x²| B. x/2 What is the composition of the functions f(x) = 3x² and g(x) = √x? A. f(g(x)) = 3√x B. f(g(x)) = √√3x² 7. If h(x) = 2x + 5 and k(x) = x³, what is (hk)(x)? A. 2x³ +5 B. 2x³ + 15 8. What is the composition of the functions f(x) = 2x and g(x) = x² + 1? A. f(g(x)) = 2x² + 2 B. f(g(x)) = 2x² 9. Given f(x)=e* and g(x) = ln(x), what is (gof)(x)? A. In(e) B. In(xe) C. 2x² + 4x +3 D. 2x² + 1 C. 21 D. 23 C.-4 D. -13 C. f'(x)= (x + 7)/4 D. f'(x) = (x-4)/7 C. x² D. X C. g(f(x)) = 3x D. g(f(x)) = √√3x² C. 2x³ + 10 D. x³ +5 C. g(f(x)) = 2x + 1 D. g(f(x)) = x² + 2 C.erlxx)) D. e(xin(x))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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![1. Given f(x) = 2x + 3 and g(x)=x²-1, what is (fog)(x)?
A. 2x² + 5x + 2
B. x² +2x + 3
2. If f(x) = 3x - 2 and g(x) = 2x + 5, what is the value of (f + g)(4)?
A. 20
B. 22
3. Given h(x)=x²-3x and k(x) = 4x + 1, find (h - k)(3).
A. -8
B. -7
4. What is the inverse of the function f(x) = 4x +7?
A. f(x) = (x-7)/4
B. f'(x) = 4x - 7
5. Given f(x) = [x] and g(x)=x², what is (fog)(x)?
A. |x²|
B. |x|²
6. What is the composition of the functions f(x) = 3x² and g(x) = √x?
A. f(g(x)) = 3√x
2
B. f(g(x)) = √3x
7. If h(x) = 2x + 5 and k(x) = x³, what is (hk)(x)?
A. 2x³ +5
B. 2x³ + 15
8. What is the composition of the functions f(x) = 2x and g(x) = x² + 1?
A. f(g(x)) = 2x² + 2
B. f(g(x)) = 2x²
9. Given f(x) = e* and g(x) = ln(x), what is (g °f)(x)?
A. In(e)
B. In(xe)
C. 2x² + 4x + 3
D. 2x² + 1
C. 21
D. 23
C.-4
D. -13
C. f'(x) = (x + 7)/4
D. f'(x) =(x-4)/7
C. x²
D. X
C. g(f(x)) = 3x
2
D. g(f(x)) = √√3x²
C. 2x³ + 10
D. x³ +5
C. g(f(x)) = 2x + 1
D. g(f(x)) = x² + 2
C. e(lm(x))
D. e(xln(x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb184afff-3893-4c87-bc83-e7af0a6e103a%2Fff762bf7-7cae-47d5-92e0-08a877d95ad4%2Fp1wsbx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Given f(x) = 2x + 3 and g(x)=x²-1, what is (fog)(x)?
A. 2x² + 5x + 2
B. x² +2x + 3
2. If f(x) = 3x - 2 and g(x) = 2x + 5, what is the value of (f + g)(4)?
A. 20
B. 22
3. Given h(x)=x²-3x and k(x) = 4x + 1, find (h - k)(3).
A. -8
B. -7
4. What is the inverse of the function f(x) = 4x +7?
A. f(x) = (x-7)/4
B. f'(x) = 4x - 7
5. Given f(x) = [x] and g(x)=x², what is (fog)(x)?
A. |x²|
B. |x|²
6. What is the composition of the functions f(x) = 3x² and g(x) = √x?
A. f(g(x)) = 3√x
2
B. f(g(x)) = √3x
7. If h(x) = 2x + 5 and k(x) = x³, what is (hk)(x)?
A. 2x³ +5
B. 2x³ + 15
8. What is the composition of the functions f(x) = 2x and g(x) = x² + 1?
A. f(g(x)) = 2x² + 2
B. f(g(x)) = 2x²
9. Given f(x) = e* and g(x) = ln(x), what is (g °f)(x)?
A. In(e)
B. In(xe)
C. 2x² + 4x + 3
D. 2x² + 1
C. 21
D. 23
C.-4
D. -13
C. f'(x) = (x + 7)/4
D. f'(x) =(x-4)/7
C. x²
D. X
C. g(f(x)) = 3x
2
D. g(f(x)) = √√3x²
C. 2x³ + 10
D. x³ +5
C. g(f(x)) = 2x + 1
D. g(f(x)) = x² + 2
C. e(lm(x))
D. e(xln(x))
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