[tex]f(x) = \frac{10}{9}x + 11 \\ [/tex]
So :
[tex]y = \frac{10}{9}x + 11 \\ [/tex]
Subtract the sides of the equation minus 11
[tex]y - 11 = \frac{10}{9}x \\ [/tex]
Multiply the sides of the equation by 9
[tex]9(y - 11) = 10x[/tex]
[tex]9y - 99 = 10x[/tex]
Divided the sides of the equation by 10
[tex] \frac{9y - 99}{10} = x \\ [/tex]
So :
[tex] {f}^{ - 1}(x) = \frac{9x - 99}{10} \\ [/tex]
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And we're done.
Thanks for watching buddy good luck.
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