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If g(x)=1+sqrtx and f(g(x))=3+2sqrtx+x t...

If `g(x)=1+sqrtx and f(g(x))=3+2sqrtx+x` then f(x) is equal to

A

`1+2x^(2)`

B

`2+x^(2)`

C

`1+x`

D

2+x

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-FUNCTIONS-Chapter Test
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  3. If g(x)=1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) is equal to

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  8. f:R to R is defined by f(x)==(e^(x^(2))-e^(-x^(2)))/(e^(x^(2))+e^(-x^(...

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  9. If f(x)=log((1+x)/(1-x)), "then f "((2x)/(1+x^(2))) is equal to

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  10. If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to

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  11. The function f:R to R given by f(x)=x^(2)+x is

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  12. Let f:R to R and g:R to R be given by f(x)=3x^(2)+2 and g(x)=3x-1 for ...

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  13. The function of f:R to R, defined by f(x)=[x], where [x] denotes the g...

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  14. Let f(x)=x, g(x)=1//x and h(x)=f(x) g(x). Then, h(x)=1, if

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  15. Let X and Y be subsets of R,the set of all real numbers. The function ...

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  17. If f(x)=(sin^(4)x+cos^(2)x)/(sin^(2)x+cos^(4)x)"for "x in R, then f(20...

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  18. The function f: R -> R is defined by f(x) = cos^2x + sin^4x for x in R...

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  19. A = { x // x in R, x != 0, -4 <= x <= 4 and f: A -> R is defined by f...

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