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Let f: R->Rbe defined as f(x)=x^4. Choo...

Let `f: R->R`be defined as `f(x)=x^4`. Choose the correct answer. (A) f is one-one onto (B) f is many-one onto (C) f is one-one but not onto (D) f is neither one-one nor onto

A

f is one-one onto

B

f is many-one onto

C

f is one-one but not onto

D

f is neither one-one nor onto

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective Type Questions (A. Multiple Choice Questions)
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  2. Let A = {1, 2, 3}. Then number of equivalence relations containing (1...

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  3. Let f: R->Rbe defined as f(x)=x^4. Choose the correct answer. (A) f i...

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  4. Let f:RrarrR be defined as f(x)=3x. Then :

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  5. If f:RrarrR be given by f(x)=(3-x^(3))^(1//3), then fof(x) is :

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  6. Let f: R-{5/4}->R be a function defines f(x)=(5x)/(4x+5). The invers...

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  7. Consider a binary operation '**' on N defined as : a**b=a^(3)+b^(3). T...

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  8. Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C)...

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  9. Let R be a relation on the set N of natural numbers defined by n\ R\ m...

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  10. Set A has 3 elements and the set B has 4 elements. Then, the number of...

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  11. Let f:RrarrR be defined by f(x)=sinx and g:RrarrR be defined by g(x)=x...

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  12. Let f:RrarrR be defined by f(x)=x^(2)+1. Then pre-images of 17 and - 3...

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  13. Let f:RrarrR be defined by : f(x)={(2x,,xgt3),(x^(2),,1ltxlt3),(3x,,...

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  14. If f(x)=logx and g(x)=e^(x), then (fog) (x) is:

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  15. If f(x)=|x|andg(x)=x-2, then gof is equal to:

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  16. Consider the set Q with binary operation '**' as: a**b=(ab)/(4). The...

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  17. If f:RrarrR be given by f(x)=(3-x^(3))^(1//3), then f^(-1)(x) equals:

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  18. The number of one-one functions from a set containing 2 elements to a ...

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  19. Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}do...

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  20. Let f:RrarrR be defined as f(x)=2x.

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