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Is g = {(1, 1), (2, 3), (3, 5), (4,7)} a...

Is g = {(1, 1), (2, 3), (3, 5), (4,7)} a function ? If this is described by the formula `g(x)=alpha x+ beta `, then what values should be assigned to `alpha ` and ` beta`?

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The correct Answer is:
`alpha=2,beta=-1`
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ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (3) (FUNCTIONS AND MAPPING)
  1. If A={1,2,3,4}, then which of the following are functions from A to it...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Let A and B be two sets with a finite number of elements. Assume that ...

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  20. If f: R to R is defined by f (x)= x^2 + 1, then values of f^(-1) (17) ...

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