For the function f(x)=(2x-9)/(x+10), find f^(-1)(x). Answer: f^(-1)(x)=

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For the function  f(x)=(2x-9)/(x+10), find  f^(-1)(x). Answer:  f^(-1)(x)=

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Replace with y: To find the inverse function, f^(-1)(x), we need to switch the roles of x and y in the original function and then solve for y. Let's start by replacing f(x) with y to make it easier to work with. y = (2x - 9) / (x + 10)Switch x and y: Now, switch x and y to find the inverse function. x = (2y - 9) / (y + 10)Multiply by (y + 10): Next, we need to solve for y. To do this, we'll multiply both sides of the equation by (y + 10) to get rid of the fraction. x(y + 10) = 2y - 9Distribute x: Distribute x on the left side of the equation. xy + 10x = 2y - 9Move terms: To solve for y, we need to get all the y terms on one side and the constant terms on the other. Let's move the terms involving y to the left side and the constant terms to the right side. xy - 2y = -10x - 9Factor out y: Factor out y from the left side of the equation. y(x - 2) = -10x - 9Divide by (x - 2): Now, divide both sides by (x - 2) to solve for y. y = (-10x - 9) / (x - 2)Final Inverse Function: We have found the inverse function. Therefore, f^(-1)(x) is: f^(-1)(x) = (-10x - 9) / (x - 2)

For the function $f(x)=\frac{2 x-9}{x+10}$ , find $f^{-1}(x)$ . $\newline$ Answer: $f^{-1}(x)=$

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For the function f(x)=2x−9x+10 f(x)=\frac{2 x-9}{x+10} f(x)=x+102x−9​, find f−1(x) f^{-1}(x) f−1(x).\newlineAnswer: f−1(x)= f^{-1}(x)= f−1(x)=

For the function $f(x)=\frac{2 x-9}{x+10}$ , find $f^{-1}(x)$ . $\newline$ Answer: $f^{-1}(x)=$