Question 725287
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*[tex \LARGE (f\ +\ g)(x)] is the same thing as *[tex \LARGE f(x)\ +\ g(x)] and *[tex \LARGE (f\ -\ g)(x)] is the same thing as *[tex \LARGE f(x)\ -\ g(x)]


The second one is ambiguous.  Do you mean *[tex \LARGE (f\ \circ\ g)(x)] (composite) or *[tex \LARGE (f\ *\ g)(x)] (product)?


*[tex \LARGE (f\ \circ\ g)(x)] is the same thing as *[tex \LARGE f\left(g(x)\right)] whereas *[tex \LARGE (f\ *\ g)(x)] is the same thing as *[tex \LARGE \left(f(x)\right)\left(g(x)\right)].


Evaluating a function at a value is nothing more than substituting that value for the variable and doing the arithmetic. 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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