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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 `f(3x)` (b) `{f(x)}^3` (c) `3f(x)` (d) `-f(x)`

A

`f(3x)`

B

`{f(x)}^3`

C

`3f(x)`

D

`-f(x)`

Text Solution

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The correct Answer is:
C
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CBSE COMPLEMENTARY MATERIAL-REALATION AND FUNCTIONS -SHORT ANSWER TYPE QUESTIONS (4 MARKS)
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  4. Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to ...

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  5. Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to ...

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  7. Let f(x)={: (x^2 ,"when" 0 le x le 2),(2x , "when" 2 le x le 5) :} ...

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  10. Draw the graph of the constant function f:Rrarr R , f(x)=2forallx in R...

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  11. Draw the grapgh of the function |x-2|

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  12. Find the domain and range of real function ,f(x)=sqrt(x^2 +4)

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  13. Find the domain and range of real function ,f(x)=(x+1)/(x-2)

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  14. Find the domain and range of real function ,f(x)=|x+1|/(x+1)

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  15. Find the domain and range of the function f(x)=(x^(2)-9)/(x-3)

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  16. Find the domain and range of real function ,f(x)=(4-x)/(x-4)

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  17. Find the domain and range of real function ,f(x)=1-|x-3|

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  18. Determine a quadratic function (f) is defined by f(x)=ax^2 +bx+c . If ...

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  19. Draw the graph of the function

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  20. Draw the graph of the signum function f(x)={{:(|x|/x, " when ", x ne0)...

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  21. Find the domain of f(x)=1/(sqrt(x+|x|))

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