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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
x
2
−
4
x
−
2
,
x
<
1
,
3
x
x
2
−
9
,
x
≥
1.
f(x)=\begin{cases}\dfrac{x^{2}-4}{x-2}, & x<1,\\ \dfrac{3x}{x^{2}-9}, & x\ge 1.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
x
2
−
9
3
x
,
x
<
1
,
x
≥
1.
Find the complete domain of
f
(
x
)
f(x)
f
(
x
)
.
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