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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
- The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (-oo,-3]u...
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- The range of the function f(x)=sqrt(5|x|-^2-6) is a.(-3,\ -2)uu(2,3) ...
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- If f: RvecR be given by f(x)=(4^x)/(4^x+2) for all x in Rdot Then,...
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- If f(x)=sin[pi^2]x+sin[-pi^2]x, where [x] denotes the greatest integer...
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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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- If y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot
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- If f(x)=(x-1)/(x+1),x!=-1, . then show that f(f(x))=-1/x , prove that ...
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- 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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