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RD SHARMA-FUNCTION-Solved Examples And Exercises
- Find fog\ (2) and gof\ (1) when: f: R->R ; f(x)=x^2+8 and g: R->R ; g(...
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- Let R^+ be the set of all non-negative real numbers. If f: R^+\ ->R...
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- Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show tha...
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- Let f: RvecR and g: RvecR be defined by f(x)=x+1 and g(x)=x-1. Show...
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- Verify assoiativity for the following three mappings : f: NvecZ0...
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- Consider f : N ->N, g : N ->Nand h : N ->Rdefined asf (x) = 2x, g (y) ...
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- Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such...
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- Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...
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- If f: AvecBa n dg: BvecC are one-one functions, show that gof is on...
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- If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sin...
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- If f:[0,oo)vecRa n dg: RvecR be defined as f(x)=sqrt(x) and g(x)=-x^2-...
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- If f(x)=e^x and g(x)=(log)e x(x >0), find foga n dgofdot Is fog=gof?
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- If f(x)=sqrtx(x > 0) and g(x)=x^2-1 are two real functions, find fog a...
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- If f(x)=1/x and g(x)=0 are two real functions, show that fog is not...
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- Let f(x)=[x] and g(x)=|x| . Find (gof)(5/3) fog(5/3)
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- Let f(x)=[x] and g(x)=|x| . Find (gof)(5/3)- fog(5/3)
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- Let f(x)=[x] and g(x)=|x| . Find (f+2g)(-1)
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- Let fa n dg be real functions defined by f(x)=x/(x+1)a n dg(x)=1/(x+3)...
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- If f(x)=(3x-2)/(2x-3), prove that f(f(x)))=x for all x in R-{3/2} .
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- If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...
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