Let A=R-{2} and B=R-{1}, if f: A → Bis a mapping defined by f(x)=x-1/x-2, show that f isbijective...

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Q104: Let A=R-{2} and B=R-{1}. If f:A→B is a mapping defined by f(x)=(x-1)/(x-2), show that f.... Q104: Let A=R-{2} and B=R-{1}. If f:A→B is a mapping defined by f(x)=(x-1)/(x-2), show that f....
Show that the mapping f:A→A defined by f(x)=x|x|,x∈A={x∈R:|x|≤1} is bijective. Show that the mapping f:A→A defined by f(x)=x|x|,x∈A={x∈R:|x|≤1} is bijective.
If \( f: R \rightarrow R \) be defined by \( f(x)=e^{x} \) and \( g: R \rightarrow R \) be defin... If \( f: R \rightarrow R \) be defined by \( f(x)=e^{x} \) and \( g: R \rightarrow R \) be defin...
Functions with a Two-Sided Inverse are Bijective Functions with a Two-Sided Inverse are Bijective
Surjective and Bijective Functions Explained | Onto Mapping Made Easy. Surjective and Bijective Functions Explained | Onto Mapping Made Easy.
Is f(x)=1/x :R to R is 1-1 & Onto? What if we change it as f: N to R? | Problem Session |Class +2 Is f(x)=1/x :R to R is 1-1 & Onto? What if we change it as f: N to R? | Problem Session |Class +2
A ={x∈R: -1≤x≤1}. Then, the mapping f:A→A given by f (x) =x|x|,then show that f is bijective. A ={x∈R: -1≤x≤1}. Then, the mapping f:A→A given by f (x) =x|x|,then show that f is bijective.
If f:A→B is injective function and |A|=|B| then,f is bijective function. If f:A→B is injective function and |A|=|B| then,f is bijective function.