Answer:
The inverse of given equation is
.
Explanation:
The given equation is
![y=2x+2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/krp0jvqletjxobr6qq67j6fw5tow7c677j.png)
we need to find the inverse of given equation.
Step 1: Interchange x and y.
![x=2y+2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nz1u6qzfpfqpeb6ovbqh2ov1wynbualf95.png)
Step 2: Isolate y.
Subtract 2 from both sides.
![x-2=2y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bnbircy9yaugzbcpscd8f9baxe6usfxjfh.png)
Divide both sides by 2.
![(x-2)/(2)=y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3s5s8axh22ez0ac0xe8xvn22h4os6r7o52.png)
![(x)/(2)-(2)/(2)=y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xtttndaiphasvwwo7bv8bdd9e9c77qo6uf.png)
![(x)/(2)-1=y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k0coyf0y4om381wo6ag9mk2vsvvaskujte.png)
Step 3: Interchange the sides.
![y=(x)/(2)-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lpo0gx88qqhsizxihz8bu7vrj580nv88dh.png)
Therefore the inverse of given equation is
.