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A DAS GUPTA-Function-Exercise
- Find the domain and range of the function y=log(e)(3x^(2)-4x+5).
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- Find the domain and range of the function f(x) = x/(1+x^2)
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- Find the domain and range of the function i. f(x)=x/|x| and ii. f...
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- Find the domain and range of the followingy=|x-4|+|x-3|+|x-2|+|x-1|
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- Find the domain and range of the followingf(x)=1/(3-cos2x)
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- Let f : {x,y, z} to {a, b, c} be a one-one function. If it is known th...
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- Prove that the product of two odd functions is an even function while ...
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- Prove that f(x)=root(3)(1-(x)^2+root(3)(1+(x)^2) is an even function
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- Extend f(x)=x^2+x defined in [0,3] onto the interval[-3,3] so that f(x...
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- Period of |sinx+cosx| is
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- If f(x) in [1,2] where x in R and for a fixed positive real number p, ...
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- Let f (x ) and g(x) be increasing and decreasing functions respectivel...
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- Computer the inverse of the function : f(x) = (x + sqrt(x^(2) + 1))
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- If f(x)=1-x/(1+x), x not equal to -1 then f{f(1/x)}=
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- If f(x)=cos(logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=
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- 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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- If f(x) is a polynomial function of the second degree such tha f(0)=5,...
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- If f(x+1)=x^(2)-3x+2 then f(x) is equal to
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- If f is an even function defined on the interval (-5,5), then four rea...
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- If f(x) is a periodic function of the period k then f(ax+b) is a perio...
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