perplexus.info :: Just Math : Find the Function

Find the Function (Posted on 2023-05-04)

What is f(x) , if
f((2x-1)/(x-3))=x^2

No Solution Yet Submitted by Ady TZIDON

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Solution (spoiler)

| Comment 1 of 2

Let y = (2x-1)/(x-3)

Solving for x, x = (3y-1)/(y-2)

Substituting in f((2x-1)/(x-3))=x^2

leads to f(y) = ((3y-1)/(y-2))^2

Final answer

Posted by Steve Herman on 2023-05-04 07:41:44

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