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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
−
2
x
−
1
x
−
1
−
1
⋅
x
f(x) = \frac{\sqrt{x-2}\sqrt{x-1}}{\sqrt{x-1}-1} \cdot x
f
(
x
)
=
x
−
1
−
1
x
−
2
x
−
1
⋅
x
, then a. domain of
f
(
x
)
f(x)
f
(
x
)
is
x
≥
1
x \ge 1
x
≥
1
b. domain of
f
(
x
)
f(x)
f
(
x
)
is
[
1
,
∞
)
−
{
2
}
[1, \infty) - \{2\}
[
1
,
∞
)
−
{
2
}
c.
f
′
(
10
)
=
1
f'(10) = 1
f
′
(
10
)
=
1
d.
f
′
(
3
2
)
=
−
1
f'\left(\frac{3}{2}\right) = -1
f
′
(
2
3
)
=
−
1
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