Let S = F-1 and T = {1, 2, 3}.Find F-1 of the following functions F from S to T, if it exist
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1
|
333
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April 10, 2019
|
Find the number of all onto functions from the set {1, 2, 3, ……., n} to itself
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1
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727
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April 10, 2019
|
Given a non-empty set X, consider the binary operation * : P (X) x P (X) ∀ P (X)
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1
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624
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April 10, 2019
|
Given a non empty set X, consider P (X) which is the set of all subsets of X
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1
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782
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April 10, 2019
|
Give examples of two functions f : N → N and g : N → N such that gof is onto but f is not onto
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1
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1461
|
April 10, 2019
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Give examples of two functions f : N → N and g : Z → Z such that
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1
|
600
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April 10, 2019
|
Show that the function f : R → R given by f(x) = x3 is injective
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1
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882
|
April 10, 2019
|
Show that the function f : R → {x ∈ R : -1 < x < 1} defined by f(x) = x/1 + |x| , x ∈ R
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1
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1299
|
April 10, 2019
|
If f(f(x)) is defined by f(f(x)) find f(f(x))
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1
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344
|
April 10, 2019
|
Let f : W → W be defined as f(n) = n - 1 if f is odd and f(n) = n + 1 if n is even
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1
|
1337
|
April 10, 2019
|
Let f : R → R be defined as f(x) = 10x + 7. Find the function such that gof = fog = IR
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1
|
1545
|
April 10, 2019
|
Consider a binary operation * on N defined as a * b = a3 + b3. Choose the correct answer:
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1
|
658
|
April 10, 2019
|
State whether the following statements are true or false. Justify:
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1
|
392
|
April 10, 2019
|
Let A = N x N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d)
|
|
1
|
782
|
April 10, 2019
|
Show that none of the operations given above the identity
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1
|
345
|
April 10, 2019
|
Let * be a binary operation on the set Q of rational numbers as follows:
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1
|
1087
|
April 10, 2019
|
Let * be the binary operation on N defined by a * b = H.C.F. of a and b
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|
1
|
539
|
April 10, 2019
|
Is * defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a binary operation?
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1
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721
|
April 10, 2019
|
Let * be the binary operation on N given by a * b = L.C.M. of a and b Find:
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1
|
793
|
April 10, 2019
|
Let * ' be the binary operation on the set {1, 2, 3, 4, 5} defined by
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|
1
|
321
|
April 10, 2019
|
Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table
|
|
1
|
574
|
April 10, 2019
|
Consider the binary operation V on the set {1, 2, 3, 4, 5} defined by a V b = min {a, b}
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1
|
734
|
April 10, 2019
|
For each binary operation * defined below, determine whether * is commutative or associative:
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|
1
|
1148
|
April 10, 2019
|
Determine whether or not each of the definition of * given below gives a binary operation
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|
1
|
489
|
April 10, 2019
|
Let f : R - {-4/3} → R be a function defined as f(x) = 4x/3x + 4
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|
1
|
962
|
April 10, 2019
|
If f : R → R given by f(x) = (3 - x3)1/3,
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1
|
421
|
April 10, 2019
|
Let f : x → y be an invertible function. Show that the inverse of f-1 id f,
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1
|
739
|
April 10, 2019
|
Consider f : {1, 2 , 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c
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|
1
|
322
|
April 10, 2019
|
Let f: x → x be an inveertable function. show that f has unique inverse
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|
1
|
573
|
April 10, 2019
|
Consider f : R+ → [-5,∞] given by f(x) = 9x2 + 6x - 5
|
|
1
|
1329
|
April 10, 2019
|