Respuesta :

dhiab

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].

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