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If it were written in a book of some sort, fx or f(x) is read aloud as "f or x". "f" is a function of some variable, "x". By function it means something happens to x e.g. x2 or 3x+4.
It can be thought of as a function that does not graph to a line when plotted. For example, y=4 or y=5x are linear. But y=x2 or y=x1/2 or y=ln(x) are not linear
It is linear in y, quadratic in x. Generally, that would be considered a quadratic.
A linear equation is an equation that in math. It is a line. Liner equations have no X2. An example of a linear equation is x-2 A linear equation also equals y=mx+b. It has a slope and a y-intercept. A non-linear equation is also an equation in math. It can have and x2 and it is not a line. An example is y=x2+3x+4 Non linear equations can be quadratics, absolute value or expodentail equations.
It means if you plot the function it is not on a straight line For example y = 3x + 4 is linear function y = x squared is non linear