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Problem
Problem
Let
f
:
R
→
R
f: R \rightarrow R
f
:
R
→
R
be a function defined by
f
(
x
)
=
e
∣
x
∣
−
e
−
x
e
x
+
e
−
x
f(x) = \frac{e^{|x|} - e^{-x}}{e^x + e^{-x}}
f
(
x
)
=
e
x
+
e
−
x
e
∣
x
∣
−
e
−
x
. Then
f
(
x
)
f(x)
f
(
x
)
is (a) one-one function (b) onto function (c) neither one-one nor onto function (d) one-one onto function
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