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Oregon State University

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Problem 1

If $ f(x) = x + \sqrt{2-x} $ and $ g(u) = u + \sqrt{2-u} $, is it true that $ f = g $?

Answer

True.

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## Discussion

## Video Transcript

when you have functions like F of X and G of axe and H of X, and so on. The letter you choose to use for the input is really arbitrary. There's nothing sacred about using X. There's nothing sacred about using you. So this function here, which is currently called F of X. It's the same function if I call it f of you. And if I replace all the exes with use, it means the exact same thing. And this function g over here, it's the exact same function. If I replace all the use with exes, so are these the same function G of X equals X plus two plus the square to minus U f of X equals X plus square to minus you. Yes, those are identical.

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