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Mathematics
Problem
10. Let
A
=
R
−
{
3
}
\mathrm{A}=\mathbf{R}-\{3\}
A
=
R
−
{
3
}
and
B
=
R
−
{
1
}
\mathrm{B}=\mathbf{R}-\{1\}
B
=
R
−
{
1
}
. Consider the function
f
:
A
→
B
f: \mathrm{A} \rightarrow \mathrm{B}
f
:
A
→
B
defined by
f
(
x
)
=
(
x
−
2
x
−
3
)
f(x)=\left(\frac{x-2}{x-3}\right)
f
(
x
)
=
(
x
−
3
x
−
2
)
. Is
f
f
f
one-one and onto? Justify your answer.
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