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Home › CBSE Class 12 (Commerce) › Mathematics › Relations and Functions › f(x) = (x - 2)/(x - 3) from R - {3} to R - {1} is

f(x) = (x - 2)/(x - 3) from R - {3} to R - {1} is

AOne-one but not onto
BBijective function
COnto but not one-one
DNeither one-one nor onto
Answer & Solution
Correct answer: B. Bijective function
Solving y = (x - 2)/(x - 3) gives x = (3y - 2)/(y - 1), unique for each y not equal to 1, and x = 3 never occurs.
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