Conto but not one-one (d) neither on 128 If S is the set of all real numbers. A relation R has been defined on S by aRba- b ≤1, then R is: (a) symmetric and transitive but not reflexive (b) reflexive and transitive but not symmetric (c) reflexive and symmetric but not transitive d) an equivalence relation
Conto but not one-one (d) neither on 128 If S is the set of all real numbers. A relation R has been defined on S by aRba- b ≤1, then R is: (a) symmetric and transitive but not reflexive (b) reflexive and transitive but not symmetric (c) reflexive and symmetric but not transitive d) an equivalence relation
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
Qn 128 circled one . Correct answer is c.
Kindly share detailed explanation for each step and each options.
![(d) neither
Conto but not one-one
128 If S is the set of all real numbers. A relation R has been defined on S by
aRba-b|≤1, then Ris:
(a) symmetric and transitive but not reflexive
(b) reflexive and transitive but not symmetric
(c) reflexive and symmetric but not transitive
d) an equivalence relation
29. If f is a function with domain [-3, 5] and g(x) = |3x + 44, then the domain of (fog)(x) is:
-
(b) [-3.
(-3,-1)
[¹]
(d) -3,
3
0. The range of the function f(x) = x² +
1
is:
2
x² +1
(2) 11,00)
(b) [2, ∞)
(c)
(d) [5, ∞)
Let f(x) = (x + 2)² -2, x2-2. If g(x) is a function whose graph is reflection of the
graph of y=f(x) in the line y=x, then g(x) is equal to:
(a) -√2+x-2
(b) √2+x+2
(c) √2+x-2
(d) -√√2+x+2
The function f(x) satisfies the functional equation 3 f (x) +2f
real x #1. The value of f (7) is
(a) 8
(b) 4
(c) - 8
Which of the following is inverse to itself?
x +59
x-1
3
= 10x +30 for all
(d) 11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51f85404-cd9e-45a0-8889-becad509a325%2F324a1548-9240-41ff-9dac-9ede46de4cef%2F0oh6p2i.jpeg&w=3840&q=75)
Transcribed Image Text:(d) neither
Conto but not one-one
128 If S is the set of all real numbers. A relation R has been defined on S by
aRba-b|≤1, then Ris:
(a) symmetric and transitive but not reflexive
(b) reflexive and transitive but not symmetric
(c) reflexive and symmetric but not transitive
d) an equivalence relation
29. If f is a function with domain [-3, 5] and g(x) = |3x + 44, then the domain of (fog)(x) is:
-
(b) [-3.
(-3,-1)
[¹]
(d) -3,
3
0. The range of the function f(x) = x² +
1
is:
2
x² +1
(2) 11,00)
(b) [2, ∞)
(c)
(d) [5, ∞)
Let f(x) = (x + 2)² -2, x2-2. If g(x) is a function whose graph is reflection of the
graph of y=f(x) in the line y=x, then g(x) is equal to:
(a) -√2+x-2
(b) √2+x+2
(c) √2+x-2
(d) -√√2+x+2
The function f(x) satisfies the functional equation 3 f (x) +2f
real x #1. The value of f (7) is
(a) 8
(b) 4
(c) - 8
Which of the following is inverse to itself?
x +59
x-1
3
= 10x +30 for all
(d) 11
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