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09-07-2020
Mathematics

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Please, I need help: Define the function $f(x) = 2x - 5$. For what value of $x$ is $f(x)$ equal to $f^{-1}(x)$?

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sqdancefan sqdancefan

09-07-2020

Answer:

5

Step-by-step explanation:

A function is equal to its inverse on the line y = x. So, we can find the required value of x by substituting for y:

y = 2x -5

x = 2x -5 . . . . substitute y = x

5 = x . . . . . add 5-x to both sides

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