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If e^(f(x))=(10+x)/(10-x), x in (-10, 10...

If `e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(2)))`, then k =

A

0.5

B

0.6

C

0.7

D

0.8

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The correct Answer is:
A
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. If f(x) = cos(log x), then f(x^(2)) . f(y^(2)) -1/2[f(x^(2)y^(2)) +f...

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  3. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

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  4. f(x) = log((1+x)/(1-x)) satisfies the equation: f(x(1)) +f(x(2))

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  5. If f(x) =|x-2| and g(x) = f(f(x)), then for x gt 20, g(x)=

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  7. If f(x) =x and g(x) =|x|, then f(x) + g(x) is equal to

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  8. If f(x)=x^(2) for xlt 0, f(x)=x for 0ltxlt1, f(x)=1//x for x gt1 then ...

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  9. Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0...

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  10. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

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  11. If f(x) = cos|e^(2)| x + cos[-e^(2)]x where [x] stands for greatest in...

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  12. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

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  13. Let g(x) =1+x-[x] and f(x) ={{:(-1, if, x lt 0),(0, if, x=0),(1, if, x...

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  14. If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] A...

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  15. If f(x)=[x], g(x)=x-[x] then which of the following functions is the z...

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  16. If f : R to R and g: R to R are given by f(x) =|x| and g(x) =[x] for e...

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  17. f(x) = {{:([x], if, -3 lt x le -1),(|x|, if, -1 lt x lt 1),(|[-x]|, if...

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  18. If f(x) is a polynomial fin x( gt0) satisfying the equation f(x)+f(1//...

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  19. If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(...

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  20. If f:R to R is defined as f(x+y)=f(x)+f(y) AA x,y in R and f(1) = 7, f...

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