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Mathematics
Problem
For
f
(
x
)
=
x
2
−
1
f(x)=x^{2}-1
f
(
x
)
=
x
2
−
1
and
g
(
x
)
=
x
−
1
g(x)=x-1
g
(
x
)
=
x
−
1
, simplify
(
f
g
)
(
x
)
\left(\dfrac{f}{g}\right)(x)
(
g
f
)
(
x
)
. a)
(
x
2
−
1
)
(
x
−
1
)
(x^{2}-1)(x-1)
(
x
2
−
1
)
(
x
−
1
)
b)
x
−
1
x-1
x
−
1
c)
x
+
1
x+1
x
+
1
d)
x
2
−
1
x
−
1
\dfrac{x^{2}-1}{x-1}
x
−
1
x
2
−
1
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