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If the function f(x) satisfies the condi...

If the function f(x) satisfies the condition `f(x + 1/x)` = `x^2 + 1/x^2,x ne 0` then f(x) is

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA...

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  3. If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,...

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  4. Which of the following functions are identical? (a)f(x)=1nx^2a n dg(x...

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  6. The range of given function f(x)=^(7-x)P(x-3) is given by

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  7. Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi] and g(x)=max{1,|x-1|} x in R...

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  8. If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x , y in R an...

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  9. Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",", x ge 3):} and g(x)={(x-3"...

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  11. If f:{1,2,3....}->{0,+-1,+-2...} is defined by f(n)={n/2, if n is ...

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  12. If f: Rrarr[0,oo)is a function such that f(x-1)+f(x+1)=sqrt(3)f(x), th...

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  13. If p and q are positive integers, f is a function defined for positive...

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  15. Show that any function can be expressed as the sum of an odd function ...

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  17. Each question has four choices, a,b,c and d,out of which only one is ...

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  18. Let f(x)=log2 log3log4log5(sin x+a^2). Find the set of values of a for...

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  19. Let f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2...

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  20. If fa n dg are two distinct linear functions defined on R such that th...

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