Question

What is the inverse of the function f(x)=1/9x+2

Answer 1

`f(x) = (1)/(9)x + 2 \\`

`y = (1)/(9)x + 2 \\`

Subtract the sides of the equation minus 2

`y - 2 = (1)/(9)x \\`

Multiply the sides of the equation by 9

`9(y - 2) = x`

`9y - 18 = x`

So ;

`{f}^( - 1)(x) = 9x - 18`

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And we're done.

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