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RD SHARMA-FUNCTION-Solved Examples And Exercises
- Prove that the function F : NvecN , defined by f(x)=x^2+x+1 is one-...
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- Let A be any non-empty set. Then, prove that the identity function on ...
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- Let A=R-[2]a n dB=R-[1]dot If f: AvecB is a mapping defined by f(x)=(x...
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- Show that if f1a n df1 are one-one maps from RtoR , then the pro...
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- Given examples of two one-one functions f1a n df2 from R to R such ...
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- If f,g: RvecR are defined respectively by f(x)=x^2+3x+1,g(x)=2x-3, fin...
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- If the function f: RvecR be given by f(x)=x^2+2a n dg: RvecR be given ...
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- If the function fa n dg are given by f={(1,2),(3,5),(4,1)}a n dg="("(2...
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- Suppose f1a n df2 are non=zero one-one functions from RtoRdot is (f...
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- Find whether the following functions are one-one or not: f: Rvecgi...
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- If the function f and g are given by f={(1,2),(3,5),(4,1)} and g={(2,...
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- Discuss the surjectivity of the following functions: f: R-> given by ...
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- Show that the function f: ZvecZ defined by f(x)=x^2+x for all x in Z ...
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- Let A be the set of all 50 students of class XII in a central school. ...
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- Show that the function f: RvecR defined by f(x)=3x^3+5 for all x in R...
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- Show that the function f: RvecR given by f(x)=cosxfora l lx in R , is...
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- Show that the function f: Rvec given by f(x)=x a+b , where a , b in R...
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- If f(x) = x/(sqrt(1+x^2) then fofof(x)
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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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- Show that f: RvecR , given by f(x)=x-[x], is neither one-one nor onto.
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