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If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =...

If g(x) `=x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2` then f(X) =........

A

`2x-3`

B

`2x+3`

C

`2x^2+3x+1`

D

`2x^2-3x-1`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. The domian of sin^(-1)[log(3)(x/3)] is .......

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  2. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

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  3. If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =..........

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  4. g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

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  5. If real function f(x) =(x+1)^(2) and g(x) =x^(2) +1 then (fog) (-3) = ...

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  6. f(x) = cot^(-1)x: R^(+) rarr (0,pi) and g(x) = 2x-x^(2): R rarrR then ...

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  7. The domian of f is [-5,7] and g(x) = |2x+5| then the domian of (fog) (...

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  8. A set A has 3 elements and a set B has 4 elements . The number of one...

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  9. f: R rarr R , f(x) = (x-1) (x-2)(x-3) then f is ........

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  10. f: N rarr N , f(n) = (n+5)^(2) , n in N , then the function f is ........

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  11. f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is ...........

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  12. f(x) =x^3/3+x^2/2+ax +b,AAx inR. If (x) is one one function then the m...

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  13. f(x) = x^(2) - 2x -1, AA x in R, f:(-oo,oo] rarr [b,oo) is one one an...

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  14. f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2 . The inverse of f(x) is .........

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  15. f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer ...

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  16. f: [2,oo) rarr y, f(x) = x^(2)-4x +5 is a one and Onto function . If y...

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  17. f:N rarrN , f(x)=x+(-1)^(x-1) then f^(-1)(x)= .......

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  19. f : R rarr R , f(x) = 2 x + |cosx| then f is ......... function .

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  20. The number of onto function from set {1,2,3,4} " to " {3,4,7} is ........

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