Precalc0105to0107-page16

Precalc0105to0107-page16 - (Section 1.6: Combining...

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(Section 1.6: Combining Functions) 1.6.4 Example 3 (Dividing Functions) Let fx () = 1 and gx = x x ± 2 . Find f g ± ² ³ ´ µ x and Dom f g ± ² ³ ´ µ . § Solution f g ± ² ³ ´ µ x = = 1 x x · 2 = x · 2 x x ¸ 2 WARNING 3 : Watch the domain when you take reciprocals. We state x ± 2 , because that restriction is not implied by the expression x ± 2 x . Dom f = ± . Dom g = ± \2 {} = x ± ± x ² 2 . = 0 ± x = 0 , so we require: x ± 0 . • Therefore, we must exclude both 0 and 2 from Dom f g
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This document was uploaded on 12/29/2011.

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