Question

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

Answer 1

$f(x) = \frac{10}{9}x + 11$

So :

$y = \frac{10}{9}x + 11$

Subtract the sides of the equation minus 11

$y - 11 = \frac{10}{9}x$

Multiply the sides of the equation by 9

$9(y - 11) = 10x$

$9y - 99 = 10x$

Divided the sides of the equation by 10

$\frac{9y - 99}{10} = x$

So :

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

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And we're done.

Thanks for watching buddy good luck.

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