EsmaeU371158 EsmaeU371158
  • 03-11-2022
  • Mathematics
contestada

Find a formula for the inverse of the given function. f(x) = 8x + 7 y=______

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DominikD268502 DominikD268502
  • 03-11-2022

Function given is

[tex]f(x)=8x+7[/tex]

To find the inverse, we follow the steps:

1. change f(x) to y

2. Interchange x and y

3. Solve for new "y"

So,

we now have:

y = 8x + 7

Interchanging:

x = 8y + 7

Solving for y:

[tex]\begin{gathered} x=8y+7 \\ x-7=8y \\ y=\frac{x-7}{8} \\ y=\frac{1}{8}x-\frac{7}{8} \end{gathered}[/tex]

The inverse function (y) is:

[tex]y=\frac{1}{8}x-\frac{7}{8}[/tex]

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