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Let f: R-{5/4}->R be a function defines...

Let `f: R-{5/4}->R` be a function defines `f(x)=(5x)/(4x+5)`. The inverse of `f` is the map `g:` Range `f->R-{5/4}` given by

A

`g(y)=(3y)/(3-4y)`

B

`g(y)=(4y)/(4-3y)`

C

`g(y)=(5y)/(5-4y)`

D

`g(y)=(3y)/(4-3y)`

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective Type Questions (A. Multiple Choice Questions)
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  2. If f:RrarrR be given by f(x)=(3-x^(3))^(1//3), then fof(x) is :

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

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

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

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

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

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

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

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

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

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

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

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  18. If f(x)=log(1+x)andg(x)=e^(x), then the value of (gof) (x) is :

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  19. Let A={(a,b)}AAa,binN. Then the relation R is :

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  20. The domain of the function f(x)=(x)/(|x|) is :

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