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f(x) is defined over [0,1]. Find the dom...

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

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A DAS GUPTA-Function-Exercise
  1. f(x) is defined over [0,1]. Find the domain of the function f(2x+3)

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

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

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

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

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

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

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

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

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

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

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

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  13. Period of |sinx+cosx| is

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

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

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

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  17. If f(x)=1-x/(1+x), x not equal to -1 then f{f(1/x)}=

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  18. If f(x)=cos(logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

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  19. If f(x)=(x+1)/x and phi(x)=(x^4+1)/(x^4) then phi(a)=-- where f(a)=5.

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  20. If f(x) is a polynomial function of the second degree such tha f(0)=5,...

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