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If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x...

If `f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2))` , then `f(g(x))` is equal to (a)`f(3x)` (b) `{f(x)}^3` (c) `3f(x)` (d) `-f(x)`

A

`-f(x)`

B

`3f(x)`

C

`[f(x)]^(3)`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The value of f(x)=3sin((pi^2)/(16)-x^2) lie in the interval

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  2. If f(x) =(x-1)/(x+1)," then f(2x) is:"

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  3. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  4. If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is

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  5. If f(x) is an even function, then the curve y=f(x) is symmetric about

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  6. If f(x) is an odd function, then the curve y=f(x) is symmetric

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  7. Which of the following function is periodic ?

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  8. Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the ...

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  9. The domain of definition of the function f(x)=(7- x)P(x-3) , is

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  10. The range of function f(x)=^(7-x)P(x-3)i s (a) {1,2,3} (b) {1,2...

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  11. The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...

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  12. If D is the set of all real x such that 1-e^((1)/(x)-1) is positive , ...

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  13. Which of the following functions has period 2pi ?

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  14. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

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  15. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

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  16. Let f(x)=|x-1|. Then,

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  17. The function f: C -> C defined by f(x) = (ax+b)/(cx+d) for x in C wher...

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  18. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  19. (1+2(x+4)^(- 0. 5))/(2-(x+4)^(0. 5))+5(x+4)^(0. 5) Find the domain of...

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  20. Which of the following functions is not an are not an injective map(s)...

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