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Mathematics
Problem
Let
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
be defined by
f
(
x
)
=
5
x
−
7
f(x)=5x-7
f
(
x
)
=
5
x
−
7
and
g
:
R
→
R
g:\mathbb R\to\mathbb R
g
:
R
→
R
by
g
(
x
)
=
x
+
7
5
g(x)=\dfrac{x+7}{5}
g
(
x
)
=
5
x
+
7
. Verify that
f
f
f
and
g
g
g
are inverses of each other by calculating both
g
∘
f
g\circ f
g
∘
f
and
f
∘
g
f\circ g
f
∘
g
.
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