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If the function'f : R rarrR is given by ...

If the function'f : R `rarr`R is given by f(x) = `x^(2) +2` and g:R `rarr` R is given by g(x) =`(x)/(x-1), x ne 1` then find fog and gof and hence find fog (2) and gof (-3) .

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The correct Answer is:
`=(11)/(10)`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 2 -SECTION -B
  1. Find the feasible region of the following system 2x+yge6,x-yle3,xge0...

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  2. Consider the binary operation **:R xxR to R and o:R xx R to R defined ...

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  3. If the function'f : R rarrR is given by f(x) = x^(2) +2 and g:R rarr R...

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  4. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

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  5. Factorize the following. [[x,2,3],[1,x+1,3],[1,4,x]]

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  6. If A=[{:(1,2,2),(2,1,-2),(x,2,y):}] is a matrix satisfying AA=9I, then...

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  7. If A=[a(ij)] is a square matrix such that a(ij)=i^(2)-j^(2) , the...

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  8. If A(x(1), y(1)), B(x(2), y(2)), and, C(x(3), y(3)) are vertices of an...

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  9. A random variable X has following probability distribution . Fin...

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  10. A random variable X has following probability distribution . Fin...

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  11. A random variable X has following probability distribution . Fin...

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  12. A random variable X has following probability distribution . Fin...

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  13. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)), then show that (dy)/(d...

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  14. Find the extreme points of the function f(x)=x^(2)sqrt(1-x^(2)). Als...

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  15. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

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  16. Using differentials, find approximate value (255)^(1//4)

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  17. Find the equations of all lines having slope -1, that are tangent to t...

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  18. Evaluate int(1)/(sqrt(8+3x-x^(2)))dx.

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  19. Evaluate int(0)^(pi//4)tan^(5)xdx.

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  20. Find the area enclosed by the ellipse (x^(2))/(16)+(y^(2))/(9)=1.

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