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Find the inverse f(x)=8-9x

Sagot :

Tasyha

Answer:

[tex] {f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9} [/tex]

Step-by-step explanation:

[tex]f(x) = 8 - 9x[/tex]

[tex]y = 8 - 9x[/tex]

[tex]x = 8 - 9y[/tex]

[tex]8 - 9y = x[/tex]

[tex] - 9y = x - 8[/tex]

[tex]y = - \frac{1}{9} x + \frac{8}{9} [/tex]

[tex] \boxed{\green{{f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}}} [/tex]

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