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Find the inverse of the function below. When typing your answer use the "^" key (shift+6) to indicate an exponent. For example, if we have x squared (x times x) we would type x^2. f(x)= \frac{x+3}{x+7} The numerator of f^{-1}(x) is Answer - AnswerThe denominator of f^{-1}(x) is Answer - Answer

Find the inverse of the function below. When typing your answer use the "^&quot-example-1
User Mbokil
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1 Answer

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9 votes

To determine the inverse function, we will write the function and reach the inversion by performing the required calculation, as follows:


\begin{gathered} y=(x+3)/(x+7)\Rightarrow y(x+7)=x+3 \\ y\cdot x+7y=x+3\Rightarrow x\cdot y-x=3-7y \\ x(y-1)=3-7y \\ \\ x=(3-7y)/(y-1) \end{gathered}

From the solution developed above, we are able to conclude that the solution for the present question is the following:


f^(-1)(x)=(3-7x)/(x-1)

Where the numerator is: 3 - 7x

Ans the denominator is: x - 1

User Iuridiniz
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