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RD SHARMA-FUNCTION-Solved Examples And Exercises
- Let f,g: Rvec be defined by f(x)=2x+1a n dg(x)=x^2-2 for all x in R ,...
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- If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...
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- If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...
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- If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot
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- f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...
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- If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A={x in R ...
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- The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...
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- Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...
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- The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...
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- Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...
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- Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...
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- Let M be the set of all 2xx2 matrices with entries from the set R o...
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- The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and on...
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- The range of the function f(x)=\ ^(7-x)P(x-3) is (a) {1, 2, 3, 4, ...
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- A function f from the set of natural numbers to integers is defined by...
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- Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...
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- Which of the following function from Z to itself are bijections? f(x)=...
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- Let A=[-1,1]dot Then, discuss whether the following functions from A t...
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- Let A}x :-1lt=xlt=1}a n df: Avec such that f(x)=x|x|, then f is a bije...
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- If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...
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