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Let f(x)=x^2a n dg(x)=sinx for all x in ...

Let `f(x)=x^2a n dg(x)=sinx` for all `x` in `R` Then the set of all `x` satisfying `(fogogof)(x)=(gogof)(x),w h e r e(fog)(x)=f(g(x)),` is

A

`+- sqrt n pi, n in {0,1,2 ......... }`

B

`+- sqrt n pi, n in {1,2 ......... }`

C

`pi/2+2n pi, n in {......-2, -1,0,1,2}`

D

`2n pi, n in {.........-2, -1,0,1,2......}`

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
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  2. Let S={1, 2, 3,4}. The total number of unordered pairs of disjoint sub...

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  3. The domain of the function f(x) = 1/(sqrt(|x|-x)) is :

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  4. Let P = {theta: sin theta- cos theta= sqrt2 cos theta} and Q= {theta: ...

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  5. Let f(x)=x^2a n dg(x)=sinx for all x in R Then the set of all x satis...

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  6. In a town of 10,000 families, it was found that 40% families buy newsp...

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  7. In a town of 10000 families, it was found that 40% families buy newspa...

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  8. In a town of 10000 families, it was found that 40% families buy newspa...

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  9. In a town of 10,000 families, it was found that 40% families buy newsp...

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  10. Given A = {x: pi/6 le x le pi/3} and f (x) = cos x -x(1 + x), find f (...

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  11. Prove that f (x) =x-[x], where [x] denotes the integral part of x not ...

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  12. Find the domain of the function f(x)= ([x]+1)/([x]-1), where [x] denot...

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  13. Find the domain of the following function : f(x)= 1/(sqrt(|x|-x)).

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  14. Find the domain of the following function : f(x)= sqrt(cos(sinx))+ s...

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  15. Find the domain of the following : f(x) = 1/(log10(1-x))+ sqrt (x+2)...

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  16. Find the domain and range of the following function : f(x) =1 /(sqrt...

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  17. Find the domain and range of the following function : f(x) = sin (lo...

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  18. Find the domain of definition of the function f (x) given by : f(x) = ...

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  19. Find the natural number a for which sum(k=1)^(n)f(a+k)=16(2^(n)-1), wh...

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  20. A function f : R rarr R, where R is the set of real numbers, is define...

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