# How do you find the inverse of #f(x)= x/(x-9)#?

To find the inverse of the function f(x) = x/(x - 9), you first replace f(x) with y: y = x/(x - 9)

Next, interchange x and y: x = y/(y - 9)

Now, solve this equation for y: x(y - 9) = y xy - 9x = y xy - y = 9x y(x - 1) = 9x y = 9x / (x - 1)

So, the inverse function of f(x) = x/(x - 9) is f^(-1)(x) = 9x / (x - 1).

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Exchange x and y. Solve for y.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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