Respuesta :

SDCInfinity

Answer:

[tex]B.~f^{-1}(x)=\frac{x-4}{8}[/tex]

Step-by-step explanation:

To find the inverse of a function, swap the places of the x and y variables and solve for y again.

[tex]x=8y+4\\x-4=8y\\\frac{x-4}{8}=y[/tex]

Answer:

D

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 8x + 4 ( subtract 4 from both sides )

y - 4 = 8x ( divide both sides by 8 )

[tex]\frac{y-4}{8}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-4}{8}[/tex] → D

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