Mathegoras

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Parameter sum for a symmetric rational function

High school · ●●●○○ 50 pts

Given the function f(x)=xax+bf(x)=\frac{x}{ax+b} with a≠0a\neq 0, its graph passes through the point (−4,4)(-4,4) and is symmetric about the line y=−xy=-x. Find the value of a+ba+b. Give your answer as a decimal.

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rational functionsinverse functions