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If f(x)=log((1+x)/(1-x))a n dt h e nf((2...

If `f(x)=log((1+x)/(1-x))a n dt h e nf((2x)/(1+x^2))` is equal to `{f(x)}^2` (b) `{f(x)}^3` (c) 2`f(x)` (d) `3f(x)`

A

`(f(x))^(2)`

B

`(f(x))^(3)`

C

`2f(x)`

D

3f(x)

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The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. If -1 le [2x^2 -3] lt 2, then x belongs to

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  2. The range of the function f(x)=(x+2)/(|x+2|),\ x!=-2 is {-1,1} b. {-1,...

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  3. If f(x)=log((1+x)/(1-x))a n dt h e nf((2x)/(1+x^2)) is equal to {f(x)...

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  4. The domain of f(x) = log |x| + 1/sqrt|x| + 1/log|x| is R - A where A i...

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  5. The largest set of real values of x for which f(x)=sqrt((x + 2)(5-x))...

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  6. The domain of the function f(x) = (x^(2) + 1)/(ln (x^(2) + 1)) is

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  7. The domain of definition of the function f(x) = log(3//2) log(1//2) lo...

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  8. The domain of the function f(x) = sqrt(log(10) cos (2pi x)) is

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  9. Domain of log([x+1]) (x-1) is ( [.] represents greatest integer func...

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  10. Range of the f(x) = (e^(x) - 1)/(e^(x) + 1)

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  11. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

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  12. The domain of the function f(x)=sqrt(x-sqrt(1-x^2)) is

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  13. The range of f(x) = 2+2x +x^(2) is

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  14. The range of the expression 2^(x) + 2^(-x) + 3^(x) + 3^(-x) for x in R...

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  15. The range of the function y = f(x) if (34)^(x) + (34)^(y) = 34 equals

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  16. The domain of the function f(x) = (x^(2) -x)/(x^(2) + 2x + 1) is

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  17. Which of the following is a function ?

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  18. Let f(x) = sin^2(x//2) + cos^2(x//2) and g(x) = sec^2x- tan^2x. The tw...

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  19. If f(x) is a polynomial function of the second degree such that, f(-3)...

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  20. Let y=sgn (x), then

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