|
Let f : R - {-4/3} → R be a function defined as f(x) = 4x/3x + 4
|
|
1
|
1055
|
April 10, 2019
|
|
If f : R → R given by f(x) = (3 - x3)1/3,
|
|
1
|
482
|
April 10, 2019
|
|
Let f : x → y be an invertible function. Show that the inverse of f-1 id f,
|
|
1
|
793
|
April 10, 2019
|
|
Consider f : {1, 2 , 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c
|
|
1
|
374
|
April 10, 2019
|
|
Let f: x → x be an inveertable function. show that f has unique inverse
|
|
1
|
625
|
April 10, 2019
|
|
Consider f : R+ → [-5,∞] given by f(x) = 9x2 + 6x - 5
|
|
1
|
1429
|
April 10, 2019
|
|
Consider f : R+ → [4, ∞] given by f(x) = x2 + 4.show that f is invertible with the inverse
|
|
1
|
3622
|
April 10, 2019
|
|
Show that f : [-1,1] → R is given by f(x) = x/(x+2) is one-one
|
|
1
|
699
|
April 10, 2019
|
|
State with reason whether following functions have inverse:
|
|
1
|
553
|
April 10, 2019
|
|
Find gof and fog, if (i) f(x) = |x| and g(x) = 15x - 21
|
|
1
|
1146
|
April 10, 2019
|
|
Let f, g and h be functions from R to R. Show that: (f + g) oh = foh + goh
|
|
1
|
624
|
April 10, 2019
|
|
Let f : {1, 3, 4} → {1, 2, 5} and g : {1, 2, 5} → {1, 3} be given by
|
|
1
|
443
|
April 10, 2019
|
|
Let f : R → R be defined as f(x) = 3x Choose the correct answer:
|
|
1
|
867
|
April 10, 2019
|
|
Let f : R → R be defined as f(x) = x4. Choose the correct answer: (A) f is one-one onto
|
|
1
|
765
|
April 10, 2019
|
|
Let A = R – {3} and B = R – {1}. Consider the function f : A → B defined by B defined by
|
|
1
|
1097
|
April 10, 2019
|
|
Let f : N → N be defined by f(n) = { n+1/2, if n is odd n/2, if n ids odd
|
|
1
|
1155
|
April 10, 2019
|
|
Let A and B be sets. Show that f : A x B → B x A such that f(a,b) = (b,a) is bijective function
|
|
1
|
736
|
April 10, 2019
|
|
In each of the following cases, state whether the function is one-one,
|
|
1
|
485
|
April 10, 2019
|
|
Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f(x) = {(1, 4), (2, 5), (3, 6)} be a function from A to B
|
|
1
|
298
|
April 10, 2019
|
|
Show that the Modulus Function f : R → R , given by f(x) = |x|, is neither one-one nor onto,
|
|
1
|
925
|
April 10, 2019
|
|
Prove that the Greatest integer Function f : R → R, Prove that the Greatest integer Function f : R → R,
|
|
1
|
512
|
April 10, 2019
|
|
Check the injectivity and surjectivity of the following functions:
|
|
1
|
1030
|
April 10, 2019
|
|
Show that the function f: R* → R* defined by f(x) = 1/x is one - one and onto, where R*
|
|
1
|
502
|
April 10, 2019
|
|
Let R be the relation in the set N given by R = {(a,b) : a = b - 2,b > 6} Choose the correct answer:
|
|
1
|
589
|
April 10, 2019
|
|
Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3),
|
|
1
|
375
|
April 10, 2019
|
|
Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2)
|
|
1
|
883
|
April 10, 2019
|
|
Show that the relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2
|
|
1
|
629
|
April 10, 2019
|
|
Show that the relation R defined in the set A of all triangles as R = {(T1, T2) : T1 is similar to T2},
|
|
1
|
841
|
April 10, 2019
|
|
Show that the relation R in the set A of points in a plane given by R = {(P. Q) : distance of the point P
|
|
1
|
554
|
April 10, 2019
|
|
Give an example of a relation, which is: (i) Symmetric but neither reflexive nor transitive
|
|
1
|
1677
|
April 10, 2019
|