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Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
+
tan
x
f(x) = x + \tan x
f
(
x
)
=
x
+
tan
x
and
f
f
f
is inverse of
g
g
g
, then
g
′
(
x
)
g'(x)
g
′
(
x
)
equals a.
1
1
+
[
g
(
x
)
−
x
]
2
\frac{1}{1 + [g(x) - x]^2}
1
+
[
g
(
x
)
−
x
]
2
1
b.
1
2
−
[
g
(
x
)
−
x
]
2
\frac{1}{2 - [g(x) - x]^2}
2
−
[
g
(
x
)
−
x
]
2
1
c.
1
2
+
[
g
(
x
)
−
x
]
2
\frac{1}{2 + [g(x) - x]^2}
2
+
[
g
(
x
)
−
x
]
2
1
d. None of these
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