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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
a
x
+
1
f(x)=ax+1
f
(
x
)
=
a
x
+
1
and
g
(
x
)
=
1
x
g(x)=\dfrac{1}{x}
g
(
x
)
=
x
1
with
x
≠
0
x\neq0
x
=
0
. For which real value of
a
a
a
does
(
f
∘
g
)
(
x
)
=
(
g
∘
f
)
(
x
)
(f\circ g)(x)=(g\circ f)(x)
(
f
∘
g
)
(
x
)
=
(
g
∘
f
)
(
x
)
for every admissible
x
x
x
? a)
1
1
1
b) No real value of
a
a
a
c)
0
0
0
d)
−
2
-2
−
2
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