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To find the inverse first we need to solve the equation for x ,
Then put x instead of y .
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Let's do it...
[tex]f(x) = 8x + 2[/tex]
[tex]y = 8x + 2[/tex]
[tex]8x + 2 = y[/tex]
Subtract sides 2
[tex]8x + 2 - 2 = y - 2[/tex]
[tex]8x = y - 2[/tex]
Divide sides by 8
[tex] \frac{8x}{8} = \frac{y - 2}{8} \\ [/tex]
[tex]x = \frac{y - 2}{8} \\ [/tex]
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Thus ;
[tex] {f}^{ - 1} (x) = \frac{x - 2}{8} \\ [/tex]
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