f(x) + g(x), where they both are non-lineariteis. Gives a linear function. What is g(x) named?

Say we have f(x) such that,

f(x) = x^2 (Just an example maybe any other function too e.g: x^6, x^(-14) etc.)

and we have, g(x) such that,

g(x) = -x^2 (Just an example maybe any other function too e.g: -x^6, (-x^-14), etc.)

Now,

f(x) + g(x) = Linear number line.

My question is, what is the function g(x) know with respect to f(x) know as?
Inverse of f(x)?, Negative of f(x)?. What is the nameing convention?

Mathematics Asked by Clown on January 2, 2021

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