Operations with Functions
How to solve operations with functions problems: example and its solution.
Solve the operations between functions
just like operations between polynomials.
x2 + 2x - 1,
-x2 + 2x + 1,
2x3 - 2x2
don't have any excluded values.
So the domains of these functions are 'real numbers'.
x ≠ ±1,
because x = ±1 makes the denominator 0,
which cannot happen.
excluded value (extraneous solution)
So the domain of (f/g)(x) is x ≠ ±1.