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If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x...

If `f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1`, then

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Solve the following |(2x-1)/(x-1)|gt2

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  2. Find the fundamental period of f(x)=cosxcos2xcos3xdot

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  3. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

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  4. Solve the following |(x-3)/(x+1)|lt=1

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  5. The domain of the function f(x)=sin^(-1)((8(3)^(x-2))/(1-3^(2(x-1)))) ...

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  6. Solve the system of equations in x,y and z satisfying the following eq...

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  7. If f(x) = (p - x^n)^(1/n), p gt 0 and n is positive integer, then the ...

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  8. Find the range of f(x)=(x-[x])/(1-[x]+x '),w h e r e[] represents the ...

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  9. the function f(x)=(x^2+4x+30)/(x^2-8x+18) is not one-to-one.

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  10. Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function...

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  11. If f1(x) and f2(x) are defined on domains D1 and D2,respectively, the...

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  12. In the questions, [x]a n d{x} represent the greatest integer function ...

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  13. Let R be the set of real numbers. If f:R->R is a function defined by f...

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  14. If f(x) = [x] , 0<= {x} < 0.5 and f(x) = [x]+1 , 0.5<{x}<1 then prove...

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  15. Find the range of f(x)=(x^2-x+1)/(x^2+x+1)

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  16. Statement 1 : For a continuous surjective function f: RtoR ,f(x) can n...

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  17. Find the domain and range of f(x)=sqrt(x^2-4x+6)

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  18. Find the range of f(x)=(log)esinx

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  19. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a)...

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

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