Answer:
y
=
2
x
−
8
is the inverse of
y
=
1
2
x
+
4
and it is a linear function.
Explanation:
From the given
y
=
1
2
x
+
4
interchange the variables first
x
=
1
2
y
+
4
solve for y in terms of x
y
=
2
x
−
8
let us check using the graphs compared to
y
=
x
graph{(y-1/2x-4)(y-2x+8)(y-x)=0[-20,20,-10,10]}
Notice that the line
y
=
x
acts as the mirror line. Therefore the equations above are inverses of each other.
I hope the explanation is useful.
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