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For `x in R`, the functions f(x) satisfies `2f(x)+f(1-x)=x^(2)`. The value of f(4) is equal to

A

`13/3`

B

`43/3`

C

`23/3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  11. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, wh...

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  12. If f(x)=sinx+cosx, g(x)=x^(2)-1, then g{f(x)} is invertible in the dom...

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  14. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

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  15. If f:[0,infty) rarr [0,infty) " and " f(x)=x/(1+x), then f is

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  18. Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is ...

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  19. If f:[1,infty) rarr [2,infty) is given by f(x)=x+1/x, " then " f^(-1)(...

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  20. Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x...

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  21. The domain of definition of function of f(x)=(log(2)(x+3))/(x^(2)+3x+2...

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