Respuesta :

wegnerkolmp2741o

Answer:

f(x) = 8(x-3)

Step-by-step explanation:

F^ -1 ( x) = x/8 +3

Let y = x/8+3

To find the inverse

Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

09pqr4sT

Answer:

[tex]\boxed{f(x) = 8(x-3)}[/tex]

Step-by-step explanation:

[tex]y=\frac{x}{8} +3[/tex]

Switch variables.

[tex]x=\frac{y}{8} +3[/tex]

Make y as subject.

Subtract 3 from both sides.

[tex]x-3=\frac{y}{8}[/tex]

Multiply both sides by 8.

[tex]8(x-3)=y[/tex]

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