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If f(x)=(ax^(2)+b)^(3), the function g s...

If `f(x)=(ax^(2)+b)^(3)`, the function g such that `f(g(x))=g(f(x))`, is given by

A

`g(x)=((b-x^(1//3))/(a))^(1//2)`

B

`g(x)=(1)/((ax^(2)+b)^(3))`

C

`g(x)=(ax^(2)+b)^(1//3)`

D

`g(x)=((x^(1//3)-b)/(a))^(1//2)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. Let f : R to R be a function defined by f(x)=(|x|^(3)+|x|)/(1+x^(2))...

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  2. about to only mathematics

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

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

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  5. The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0,...

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  6. If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) ...

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  7. The domain of sin^(-1)[log(3)((x)/(3))] is :

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  8. The function f(x)=(sec^(-1)x)/(sqrt(x-[x])) where [x] denotes the gre...

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  9. The domain of definition of the function f(x)=3sqrt((2x+1)/(x^(2)-10x...

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  10. Let g(x) be a function defined on[-1,1]dot If the area of the equilate...

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  11. The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-l...

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  12. Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

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  13. If f : R -> R are defined by f(x) = x - [x] and g(x) = [x] for x in R,...

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  14. The domain of definition f(x)=sqrt(log(0.4) ((x-1)/(x+5)))xx1/(x^2-36...

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  15. The set of all x for which the none of the functions is defined f(x)=l...

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  16. If f: R to R is defined by f(x)=x-[x]-(1)/(2) for all x in R , wher...

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  17. The domain of definition of f(x)=log(10) log(10)…..log(10)x n times, i...

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  18. The domain of the function f(x) = log10 log10 (1 + x ^3) is

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  19. The domain of the function f(x)=log(3)[-(log(3)x)^(2)+5log(3) x-6] is

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  20. The domain of definition of f(x)=log(3)|log(e)x|, is

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