- (
*f* + *g*) is continuous, since both *f* and *g* are continuous.
- (
*f* – *g*) is continuous, since both *f* and *g* are continuous.
- is continuous wherever
*g* is not zero. *g* is zero at all multiples of π (0,π, -π, 2π,-2π, ...). will be continuous on the intervals ..., (-2π, -π), (-π,0), (0,π), (π,2π),...
- is continuous wherever
*f* is not zero.
*f*(*x*) = 4*x*^{2} + 3*x* = *x*(4*x* + 3).
Since *f* is zero when *x* = 0 and when , the function is continuous on the intervals | |