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Determine the function satisfying `f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdot`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...

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  2. Find the domain of f(x)=sqrt((1-|x|)/(|x|-2))

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  3. Determine the function satisfying f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdo...

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  4. The domain of the function f(x)=sqrt(log(1/(|sinx|))) (a)R-{-pi,pi}...

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  5. Find the domain and range of f(x)=sqrt(3-2x-x^2)

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  6. The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[0,pi/2] (b) (0,pi/...

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  7. Solve (3x-2)lt=1/2

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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