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Consider f: R^(+)->Rsuch thatf(3)=1 for...

Consider `f: R^(+)->R`such that`f(3)=1` for `a in R^+ a n d """"f(x)dotf(y)+ f(3/x)f(3/y)=2f(x y)AAx ,y in R^+dot` Then find `f(x)dot`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Solve (3x-2)lt=1/2

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  2. The function f(x)=(sec^(-1)x)/(sqrt(x-[x]), where [x] denotes the grea...

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  3. Consider f: R^(+)->Rsuch thatf(3)=1 for a in R^+ a n d """"f(x)dotf...

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  4. Find the range of f(x) = sqrt(x-1)+sqrt(5-x)

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  5. Identify the following functions whether odd or even or neither: f(x)=...

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  6. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=(1//3)...

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  7. If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the value of ...

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  8. Identify the following functions whether odd or even or neither: f(x) ...

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  9. Find the complete set of values of a such that (x^2-x)/(1-a x) atta...

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  10. Let g: Rrarr(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . ...

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  11. Find the range of f(x)=(x^2+34 x-71)/(x^2+2x-7)

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  12. Let f:(-1,1)rarrB be a function defined by f(x)=tan^(-1)[(2x)/(1-x^2)...

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  13. Solve (|x+3|+x)/(x+2)>1

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  14. The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi...

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  15. Sol v e:|x-1|+|x-2|geq4.

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  16. The range of f(x)=(x+1)(x+2)(x+3)(x+4)+5 for x in [-6,6] If the range ...

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  17. Which of the following functions is (are) even, odd, or neither ? (i...

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  18. Verify the property: x × y = y × x by taking: (i) x=-1/3, y=2/7 (ii)...

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  19. Let h(x)=|k x+5|,then domainof f(x) be [-5,7], the domain of f(h(x))...

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  20. Find the domain of the following functions: f(x)=sqrt(x-sqrt(1-x^2))

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