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Mathematics
Problem
Let
f
:
R
→
R
f: \mathbb R \to \mathbb R
f
:
R
→
R
be given by
f
(
x
)
=
a
x
+
b
f(x)=ax+b
f
(
x
)
=
a
x
+
b
, where
a
,
b
∈
R
a,b\in\mathbb R
a
,
b
∈
R
. For which values of
a
a
a
is
f
f
f
bijective? a)
a
>
0
a>0
a
>
0
b)
a
≠
0
a\neq 0
a
=
0
c)
a
<
0
a<0
a
<
0
d)
a
=
0
a=0
a
=
0
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