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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-FUNCTIONS-Exercise
  1. Which of the following functions is the inverse of itself? (a) f(x)=(1...

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

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

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

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

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

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  9. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

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  10. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

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  11. about to only mathematics

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  12. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

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  13. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

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  14. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

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  15. Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(...

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

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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. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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

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