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If f : R to R is defined by f(x) = x/(...

If `f : R to R ` is defined by `f(x) = x/(x^(2)+1)` find `f(f(2))` .

A

47119

B

47392

C

44498

D

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B
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. Slope of normal to the curve y = x^(2) - 1/(x^(2)) at (-1,0) is

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  2. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

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  3. If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

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  4. Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|

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  5. A man takes a step forward with probability 0.4 and one step backward ...

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  6. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

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  7. Area bounded by y = x^(3) ,y = 8 and x = 0 is .

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  8. Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and...

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  9. The mean devision from the data 3,10,10,4 ,7,10,5 is

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  10. The probability distribution of X is : {(X:,0,1,2,3),(P(X),0.2,k,k,...

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  11. If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...

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  12. A box contains 6 red numbers from 1 through 6 and 4 white marbles ...

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  13. lim(x rarr 0) (1- cos x)/(x^(2)) is :

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  14. f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):} is continuous, find k

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  15. If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :

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  16. If x = ct and y = c/t , find (dy)/(dx) at t = 2 .

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  17. A balloon which always remains spherical is being inflated by pumping ...

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  18. int (sin^(2)x)/(1+cos x) dx is equal to

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  19. Evaluate : int e^(x) ((1 + sin x)/( 1+ cos x)) dx

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  20. If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 +...

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