Precalc0101to0102-page31

Precalc0101to0102-page31 - zero in value, anyway. Solve g t...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 1.2: Graphs of Functions) 1.2.11 Example 10 (Finding Zeros) Find the zeros (or roots) of g , where gt () = 3 t 2 ± t ± 4 t ± 3 . § Solution • Observe that 3 is excluded from Dom g () , because it yields a zero denominator. Dom g () also excludes values of t that yield negative values for the radicand, 3 t 2 ± t ± 4 . We don’t have to worry about this, though, because we only care about values of t that make that radicand
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: zero in value, anyway. Solve g t ( ) = : 3 t 2 ± t ± 4 t ± 3 = 3 t 2 ± t ± 4 = t ² 3 ( ) 3 t 2 ± t ± 4 = t ² 3 ( ) Method 1: Factoring 3 t ± 4 ( ) t + 1 ( ) = t ² 3 ( ) By the Zero Factor Property, 3 t ± 4 = t = 4 3 or t + 1 = t = ± 1 WARNING 7 : If we had obtained 3, we would have had to eliminate it. The zeros of g are 4 3 and ± 1 ....
View Full Document

This document was uploaded on 12/29/2011.

Ask a homework question - tutors are online