Page No 11:
Question 10:
Let A = R − {3} and B = R − {1}. Consider the function f: A → B defined by
. Is f one-one and onto? Justify your answer.
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 exists
such that
Hence, function f is one-one and onto.
