Respuesta :
Answer:
hello : y = (1/2)x -1
Step-by-step explanation:
y = 2x +2
calculate : x
2x = y -2
x = (1/2)y -1
the inverse of y=2x+2 is : y = (1/2)x -1
Answer:
The inverse of given equation is [tex]y=\frac{1}{2}x-1[/tex].
Step-by-step explanation:
The given equation is
[tex]y=2x+2[/tex]
we need to find the inverse of given equation.
Step 1: Interchange x and y.
[tex]x=2y+2[/tex]
Step 2: Isolate y.
Subtract 2 from both sides.
[tex]x-2=2y[/tex]
Divide both sides by 2.
[tex]\frac{x-2}{2}=y[/tex]
[tex]\frac{x}{2}-\frac{2}{2}=y[/tex]
[tex]\frac{x}{2}-1=y[/tex]
Step 3: Interchange the sides.
[tex]y=\frac{x}{2}-1[/tex]
Therefore the inverse of given equation is [tex]y=\frac{1}{2}x-1[/tex].