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If A = {1, 2, 3}, B = {4, 5, 6, 7} and f...

If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} is a function from A to B. State whether f is one-one or not.

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If A = {1, 2, 3), B = {4, 5, 6, 7) and f = {(1,4),(2,5), (3,6)} is a function from A to B.b State whether f is one-one or not.

Let A={1,2,3}, B={4,5,6,7} and let f={(1,4),(2,5),(3,6)} be a function from A to B. State whether f is one-one or not.

Let f = {(1,3), (2,4), (3,7)} and g = {(3,2), (4,3), (7,1)} determine gof?

Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined by f(x)= (x-1)/(x-2) then show that f is one-one and onto. Hence, find f^(-1) .

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If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}, g={(2, 5),(4, 7),(6, 3),(8, 1)} then find (i) gof (ii) fog. Hence show that composition of functions is not commutative.

If f:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.

If n(A)=4 and n(B)=6 then the number of one-one function from A to B is-

Let A={1,2,3}, B={4,5}. Is there any relation which both a relation from A to B and from B to A?

SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If f:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2)...

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  2. Let A={1, 2, 3} and let the relation R={(1, 2), (2, 3)} what is the mi...

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  3. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

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  4. If f:RrarrRand g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3), then ...

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  5. If f(x)=(1-x^(3))^(1/3) then find fof(x).

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  6. If f:RrarrR and g:RrarrR is defined by f(x)=sinx and g(x)=5x^2, then (...

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  7. If f: RrarrR and g:RrarrR is given by f(x)=abs(x) and g(x)=abs(5x-2) t...

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  8. If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

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  9. If the fuction f:RrarrR defined by f(x)=3x-4 is invertible, then find ...

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  10. If f:R to R defined by f(x)=(3x+5)/(2) is an invertible function, then...

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  11. State whether the function f:NrarrN defined by f(x)=5x is injective, s...

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  12. If f(x)=x^3 and g(x)=x^(1/3). Then find gof(x):

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  13. If R be a relation from the set A to the set B, then-

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  14. If A={1, 2, 3, 4, 5} then the relation R={(1,1), (2, 2), (3, 3), (4, 4...

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  15. If A be non-empty set of children in a family then the relation "a is ...

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  16. If a set A has n elements and another set B has m elements, what is th...

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  17. If R be a relation on a finite set A having n elements, then the numbe...

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  18. If R be the largest equivalence relation on a set A and S is any relat...

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  19. If n(A)=4 and n(B)=6 then the number of one-one function from A to B i...

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  20. If f(x)=cos loge^x then f(x)*f(y)-1/2[f(xy)+f(x/y)]=

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