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Mathematics
Problem
Suppose
f
−
1
(
x
)
=
x
−
5
3
f^{-1}(x)=\dfrac{x-5}{3}
f
−
1
(
x
)
=
3
x
−
5
and
g
−
1
(
x
)
=
1
x
g^{-1}(x)=\dfrac{1}{x}
g
−
1
(
x
)
=
x
1
. Which of the following is
(
f
∘
g
)
−
1
(
x
)
(f\circ g)^{-1}(x)
(
f
∘
g
)
−
1
(
x
)
? a)
1
−
5
x
3
x
\dfrac{1-5x}{3x}
3
x
1
−
5
x
b)
x
−
5
3
\dfrac{x-5}{3}
3
x
−
5
c)
3
x
−
5
\dfrac{3}{x-5}
x
−
5
3
d)
3
x
−
5
\dfrac{3}{x}-5
x
3
−
5
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