Precalc0105to0107-page19

Precalc0105to0107-page19 - (Section 1.6: Combining...

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(Section 1.6: Combining Functions) 1.6.7 § Solution f ± g () x = fgx = fx ± 1 Substitute u = x ± 1 into fu = 1 u . Conceptually, f takes the reciprocal of its input. = 1 x ± 1 Find Dom f ± g . The only restriction implied by the final expression is: x > 1 . In fact, Dom f ± g … in set-builder form is: x ± ± x > 1 {} , or x ± ± : x > 1 … in graphical form is: … in interval form is: 1, ± WARNING 8 : As we will see in Example 7, we might not be able to obtain all the necessary domain restrictions
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This document was uploaded on 12/29/2011.

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