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RD SHARMA-FUNCTION-Solved Examples And Exercises
- Consider f : {1, 2, 3}->{a , b , c}given by f(1) = a, f(2) = band f(3)...
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- If f: Rvec is defined by f(x)=2x+7. Prove that f is a bijection. Also,...
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- If f: R->R is a bijection given by f(x)=x^3+3 , find f^(-1)\ (x) .
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- Let f: R->R be defined by f(x)=3x-7 . Show that f is invertible and he...
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- Show that f: R-cR0[0] given by f(x)= is invertible and it is inverse o...
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- Let f: Nuu{0}->Nuu{0} be defined by f(n)={n+1,\ if\ n\ i s\ even\,\ \ ...
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- Prove that the function f: R->R defined as f(x)=2x+3 is invertible. ...
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- Show that the function f: R ->R is given by f(x)=1+x^2 is not invertib...
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- Show that f: R-{-1}->R-{1} given by f(x)=x/(x+1) is invertible. Also, ...
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- Show that f: [-1, 1] ->R, given by f(x)=x/((x+2)is one- one . Find th...
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- Let f: Rvec\ be defined as f(x)=10 x+7. Find the function g: RvecR su...
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- If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then ...
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- The value of parameter alpha, for which the function f(x) = 1+alpha x,...
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- Let f"":""NvecY be a function defined as f""(x)""=""4x""+""3 , wher...
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- Let Y = {n^2: n in N} in N. Consider f : N ->Yas f(n)=n^2. Show tha...
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- Let f : N ->Rbe a function defined as f(x)=4x^2+12 x+15. Show that f ...
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- State with reason whether following functions have inverse (i) f:{1,2...
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- State with reason whether following functions have inverse (i) f:{1,2...
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- Find f^(-1) if it exists: f: A->B where A={0,\ -1,\ -3,\ 2}; B= {-9,\ ...
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- Find f^(-1) if it exists: f: A->B where A={1,\ 3,\ 5,\ 7,\ 9}; B= {0,\...
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