Precalc0105to0107-page23

Precalc0105to0107-page23 - (Section 1.6: Combining...

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(Section 1.6: Combining Functions) 1.6.11 In fact, Dom f ± g () … in set-builder form is: x ± ± x ² 3 and x ³ 10 {} , or x ± ± : x ² 3 and x ³ 10 … in graphical form is: … in interval form is: 3, 10 ± ² ) ³ 10, ´ We write: f ± g x = 1 x ± 10 x ² 3 . The restriction x ± 10 is evident. A more rigorous analysis of Dom f ± g follows. x ± g : gx = x ² 3 ± x ² 3 , our u ±² ³ ³´ ³³ ± f : fu = 1 u 2 ² 7 f µ g ³³³³³³³³³³ ³³³³³³³³³³³ ± 1 x ² 10 fgx ³ ´ µ · ¸ ±²´ x ¹ 3 from Dom g ² 7 "illegal" input to f , but not an output from g º± ººº 7 "illegal" input to f » ¼ ½ ¾ ½ 7 ¿ Dom f • The set of “legal” inputs to g , Dom g = 3, ± ² ³ ) . • The set of
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This document was uploaded on 12/29/2011.

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