Let A = R – {3} and B = R – {1}. Consider the function f : A → B defined by
A = R - {3}, B = R - {1}
f: A → B is defined as.
.
∴ f is one-one.
Let y ∈B = R - {1}. Then, y ≠ 1.
The function f is onto if there exists x ∈A such that f(x) = y.
Now,
Thus, for any y ∈ B, there existssuch that
Hence, function f is one-one and onto.
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Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 2 , Question 10: Let A = R – {3} and B = R – {1}. Consider the function f : A → B defined by ....
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