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What is the inverse of function f? f(x)=10/9r+11

1 Answer

2 votes


f(x) = (10)/(9)x + 11 \\

So :


y = (10)/(9)x + 11 \\

Subtract the sides of the equation minus 11


y - 11 = (10)/(9)x \\

Multiply the sides of the equation by 9


9(y - 11) = 10x


9y - 99 = 10x

Divided the sides of the equation by 10


(9y - 99)/(10) = x \\

So :


{f}^( - 1)(x) = (9x - 99)/(10) \\

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And we're done.

Thanks for watching buddy good luck.

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