Precalc0105to0107-page14

Precalc0105to0107-page14 - (Section 1.6: Combining...

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(Section 1.6: Combining Functions) 1.6.2 PART B: ARITHMETIC COMBINATIONS OF FUNCTIONS Let f and g be functions. If their domains overlap, then the overlap (intersection ) Dom f () ± Dom g is the domain of the following functions with the specified rules, with one possible exception (*): f + g , where f + g x = fx + gx f ± g , where f ± g x = ± fg , where fg x = f g , where f g ± ² ³ ´ µ x = (*) WARNING 1 : Dom f g ± ² ³ ´ µ = x · Dom f ¸ Dom g ± 0 {} . Example 1 (Adding Functions) Let = x 2 and
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