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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
- Express the function f: XvecR given by f(x)=x^3+1 as set of ordered pa...
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- If f(x)=x+1/x , prove that [f(x)]^3=f(x^3)+3f(1/x)dot .
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- Let f: RvecRa n dg: CvecC be two functions defined as f(x)=x^2a n dg(x...
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- Let A={12 ,13 ,14 ,15 ,16 ,17}a n df: AvecZ be function given by f(x)=...
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- Find the domain of each of the following functions given by f(x)=1/(sq...
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- Find the domain of definition of the following f(x) given by f(x)=log4...
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- Find the domain of definition of the function f(x) given by f(x)=1/(lo...
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- Find the range of each of the following functions: f(x)=|x-3| f(x)...
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- Find the sum and product of identity function and the modulus function...
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- If f(x)=1/(1-x) , show thatf[f{f(x)}]=xdot
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- If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.
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- Find the domain of the real function f(x) defined by f(x)=sqrt((1-|x|)...
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- If f is a real function satisfying f(x+1/x)=x^2+1/(x^2) for all x in ...
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- Let f\ be a relation on the set NN of natural numbers defined by f={(...
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- Let f be the subset of Z xxZ defined by f" "=" "{(a b ," "a" "+" "b)" ...
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- Consider a rule f(x)=2x-3 associating elements of NN (set of natural n...
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- Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ be given y f(x)=x^2-2x-3. F...
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- Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B gi...
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- Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R...
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- Let f: ZZ->ZZ\ a n d\ g: ZZ->ZZ\ be functions defined by f={(n , n^2)...
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