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Mathematics
Mathematics
Problem
If the mapping
f
(
x
)
=
m
x
+
c
f(x) = mx + c
f
(
x
)
=
m
x
+
c
,
m
>
0
m > 0
m
>
0
maps
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
onto
[
0
,
2
]
[0, 2]
[
0
,
2
]
, then
tan
(
tan
−
1
1
7
+
cot
−
1
8
+
cot
−
1
18
)
\tan \left( \tan^{-1} \frac{1}{7} + \cot^{-1} 8 + \cot^{-1} 18 \right)
tan
(
tan
−
1
7
1
+
cot
−
1
8
+
cot
−
1
18
)
is equal to a.
f
(
2
3
)
f\left(\frac{2}{3}\right)
f
(
3
2
)
b.
f
(
1
3
)
f\left(\frac{1}{3}\right)
f
(
3
1
)
c.
f
(
−
1
3
)
f\left(\frac{-1}{3}\right)
f
(
3
−
1
)
d.
f
(
−
2
3
)
f\left(\frac{-2}{3}\right)
f
(
3
−
2
)
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