Precalc0101to0102-page14

Precalc0101to0102-page14 - (Section 1.1 Functions 1.1.13...

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(Section 1.1: Functions) 1.1.13 Example 14 (Finding a Domain) Let fx () = ± x 4 . Find Dom f . § Solution Solve the weak inequality: 3 ± x ² 0 . Method 1 3 ± x ² 0 Now subtract 3 from both sides. ± x ²± 3 Now multiply or divide both sides by ± 1 . WARNING 11 : We must then reverse the direction of the inequality symbol. x ± 3 Method 2 3 ± x ² 0 Now add x to both sides. 3 ± x Now switch the left side and the right side. WARNING 12 : We must then reverse the direction of the inequality symbol. x ± 3 The domain of f … in set-builder form is: x ± ± x ² 3 {} , or
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