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Mathematics
Problem
Consider the function
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
given by
f
(
x
)
=
e
2
x
+
b
x
f(x)=e^{2x}+b x
f
(
x
)
=
e
2
x
+
b
x
, where
b
∈
R
b\in\mathbb{R}
b
∈
R
. For which of the following values of
b
b
b
is
f
f
f
one-one on
R
\mathbb{R}
R
? a)
b
=
−
1
b=-1
b
=
−
1
b)
b
=
0
b=0
b
=
0
c)
b
=
−
3
b=-3
b
=
−
3
d)
b
=
−
4
b=-4
b
=
−
4
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