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If f:R->R be defined by f(x)=x^2+1, then...

If `f:R->R` be defined by `f(x)=x^2+1`, then find `f^(-1)(17)` and `f^(-1)(-3)`.

A

`phi,[4,-4]`

B

`[3-,3], phi`

C

`[4,-4], phi`

D

`[4,-4], [2,-2]`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
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  3. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

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  4. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  7. f : R rarr R is a function defined by f (x) = 10 x - 7. If g = f^(-1),...

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  8. Let A={x in R : xlt=1} and f: A->A be defined as f(x)=x(2-x) . Then, ...

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  9. If f(x)=x^n , n in Nandgof(x)=ng(x) then g(x) can be

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  10. If the function f: R->R be such that f(x)=x-[x] , where [x] denotes th...

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  11. f:R to R given by f(x)=5-3 sin x, is

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  12. Let f:A->B be a function defined by f(x) =sqrt3sin x +cos x+4. If f is...

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  13. Let f: A to B; g: B to A be two functions such that gof = IA. Then; f ...

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  14. Let f: A to B; g: B to A be two functions such that fog = IB. Then; f ...

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  15. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

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  16. If functions f:A to B and g : B to A satisfy gof= I(A), then show that...

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  17. Suppose f:A to B " and " B to C. (i) Prove that if f is onto and g i...

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  18. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

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  19. Let [x] denote the greatest integer less than or equal to x . If f(x...

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