Respuesta :

Answer:

The inverse of given function is [tex]y=\frac{1}{2}x-1[/tex].

Step-by-step explanation:

The given function is

[tex]y=2x+2[/tex]

The step and shown below to find the inverse of the function.

Step 1: Interchange x and y.

[tex]x=2y+2[/tex]

Step 2: Isolate variable y.

[tex]x-2=2y[/tex]

[tex]\frac{1}{2}(x-2)=y[/tex]

[tex]\frac{1}{2}(x)+\frac{1}{2}(-2)=y[/tex]

[tex]\frac{1}{2}(x)-1=y[/tex]

Therefore the  inverse of given function is [tex]y=\frac{1}{2}x-1[/tex].

zainebamir540

Answer:

The inverse of y = 2x+2 is 1/2x-1.

Step-by-step explanation:

Given equation is

y = 2x+2

let y = f(x) = 2x+2

We have to find the inverse of given function.

Adding -2 to both sides of given equation,we get

y-2 = 2x+2-2

y-2 = 2x

dividing by 2 to both sides of above equation , we have

(y-2) / 2 = 2x / 2

y/2 - 1 = x

Swapping equation, we have

x = y/2-1

put x = f⁻¹(y) in above equation ,we have

f⁻¹(y) = y/2 -1

Replace y with x , we have

f⁻¹(x) = x/2-1

Hence , the inverse of given function is 1/2x-1.

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