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- If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...
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- Find the domain and range of the following functions: i)f(x)=1/(sqrt(x...
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- Let f and g be two real functions defined by f(x)=1/(x+4) and g(x)=(x+...
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- Which of the following relations are functions? Give reasons. If it is...
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- If f(x)=x^2+x-1 and g(x)=4 x-7. be real functions then find: i) (f+g)...
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- Let f and g be real functions defined by f(x)=sqrt(x+4), x ge-4 and g(...
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- If af(x)+bf (1/x)=1/x-5 for x ne 0, where a ne b. Find f(x)
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- If A={3,4,6} , B={1,3} and C={1,2,6}, then find (i) A xx(B nn C) (...
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- Let A and B are two sets such that n (A) = 3 and n (B) = 2. If (x,1),...
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- Let A be a non - empty set such that A xx B=A xx C show that B=C
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- Let A subset B, C subset D, then prove that A xx C subset B xx D
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- Let R be the relation on Z defined by R={(a, b), a, b in Z, a^2=b^2} F...
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- Let R be the relation on Z defined by R = { ( a,b): a,b in Z, a - b i...
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- If f :R rarr R is defined by f(x)=x^2-3 x+2, find f(f(x)). Also evalua...
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- If f(x)=x+1/x show that (f(x))^3=f(x^3)+3 f(x)
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- Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)
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- Draw the graph of the real function y=x^2+2 x+3
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- Draw the graph of the real function y={[ x, if x le 0], [ x^2, if...
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- Let f: R rarr R be a function defined by f(x)=x^2+[x]+|x|-7, x in R. F...
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- Let f, g: R rarr R be functions defined respectively by f(x)=x+1, g(x)...
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