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Find the domain of the real-valued funct...

Find the domain of the real-valued functions: `y=sin^-1x+sqrt(2x-x^2)-1/sqrt(8x-4x^2-3)`

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A DAS GUPTA-Function-Exercise
  1. Find the domain of the real-valued functions: f(x)=sqrt(4-x)+sqrt(x-5)

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  2. Find the domain of the real-valued functions: f(x)=sqrt(3-x)+cos^-(1)(...

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  3. Find the domain of the real-valued functions: y=sin^-1x+sqrt(2x-x^2)-1...

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  4. If log(x)y.log(xy)y.log(x^2y)y=1/6 then express y as the real function...

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  5. f(x) is defined over [0,1]. Find the domain of the function f(2x+3)

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  6. The function f(x) is defined on the interval [0, 1]. Find the domain ...

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  7. f(x) is defined over [0,1]. Find the domain of the function f(cosx)

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  8. Find the domain and range of the function y=log(e)(3x^(2)-4x+5).

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  9. Find the domain and range of the function f(x) = x/(1+x^2)

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  10. Find the domain and range of the function i. f(x)=x/|x| and ii. f...

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  11. Find the domain and range of the followingy=|x-4|+|x-3|+|x-2|+|x-1|

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  12. Find the domain and range of the followingf(x)=1/(3-cos2x)

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  13. Let f : {x,y, z} to {a, b, c} be a one-one function. If it is known th...

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  14. Prove that the product of two odd functions is an even function while ...

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  15. Prove that f(x)=root(3)(1-(x)^2+root(3)(1+(x)^2) is an even function

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  16. Extend f(x)=x^2+x defined in [0,3] onto the interval[-3,3] so that f(x...

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  17. Period of |sinx+cosx| is

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  18. If f(x) in [1,2] where x in R and for a fixed positive real number p, ...

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  19. Let f (x ) and g(x) be increasing and decreasing functions respectivel...

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  20. Computer the inverse of the function : f(x) = (x + sqrt(x^(2) + 1))

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