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If f is a function form a set A to A, th...

If `f` is a function form a set `A` to `A`, then `f` is invertible iff `f` is

A

One-one

B

Onto

C

Both one-one and onto

D

Many one

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The correct Answer is:
C
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  2. Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R, t...

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  3. If f is a function form a set A to A, then f is invertible iff f is

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  4. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

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  5. Set A has 3 elements and set B has 4 elements. The number of injection...

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  6. The number of Surjections from A = {1, 2, ....4}, n ge 2, onto B = {a,...

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  7. Let A and B be two finite sets having m and n elements respectively. T...

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  8. The total number of injective mappings from a set with m elements to a...

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  9. Let A be a set containing 10 distinct elements, then the total number ...

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  10. Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions...

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  11. If f : R rarr R, f(x) = 1/(x^2 - 1), then domain is

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  12. Function f :R->R,f(x) = x|x| is

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  13. domain of f(x) = (x^(2))/(1-x^(2)), is

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  14. Let f : N rarr N be defined as f(x) = 2x for all x in N, then f is

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  15. Let A ={1,2,3,4,5,6} . Define a relation R from A to A by R = {(...

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  16. Let f(x) = [x] and g(x) = x - [x], then which of the following functi...

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  17. Function f : R rarr R, f(x) = x + |x|, is

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  18. Function f : [(pi)/(2), (3pi)/(2)] rarr [-1, 1], f(x) = sin x is

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  19. Function f[(1)/(2)pi, (3)/(2)pi] rarr [-1, 1], f(x) = cos x is

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  20. If f : R rarr R, f(x) = sin^(2) x + cos^(2) x, then f is

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