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If A={1,2,3,4}, then which of the follow...

If `A={1,2,3,4}`, then which of the following are functions from A to itself?

A

`f_(1)={(x,y):y=x+1}`

B

`f_(2)={(x,y):x+ygt4}`

C

`f_(3)={(x,y):yltx}`

D

`f_(4)={(x,y):x+y=5}`

Text Solution

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The correct Answer is:
D
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ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (3) (FUNCTIONS AND MAPPING)
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  2. Given A={2,3,4},B={2,5,6,7}. Construct an example of each of the fol...

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  3. If A={1,2,3,4}, then which of the following are functions from A to it...

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  4. Suppose f is the collection of all ordered pairs of real numbers and x...

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  5. Is g = {(1, 1), (2, 3), (3, 5), (4,7)} a function ? If this is describ...

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  6. Is the function f:N to N (N is set of the natural numbers) defined by...

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  7. Are the following sets of ordered pairs functions? If so, examine whet...

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  8. Are the following sets of ordered pairs functions ? If so, examine whe...

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  9. If the mapping f and g are given by f = {(1, 2), (3, 5), (4, 1)} a...

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  10. If the functions f:RrarrRandg:RrarrR be defined by f(x)=2x+1,g(x)=x^(2...

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  11. Let R be the set of all real numbers let f: R to R : f(x) = sin x ...

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  12. Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)...

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  13. "If" f(x)=(3x+2)/(5x-3),"then"

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  14. Given f(x)=log(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2)), then f...

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  15. Let f:RrarrR be defined by f(x)="cos"(5x+2). If f invertible ?

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  16. A mapping is defined as f:R to R. f (x) = cos x. Show that it is neit...

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  17. Let C be the set of complex numbers. Prove that the mapping f: C to R...

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  18. Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3). Is...

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  19. Let f: R to R be defined by f(x) = 3x + 4, X in R Is f invertible ? ...

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  20. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

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