Section 2_7 - Math 1650 Lecture Notes §2.7 Jason Snyder,...

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Unformatted text preview: Math 1650 Lecture Notes §2.7 Jason Snyder, PhD. Combining Functions Page 1 of 5 § 2.7: Combining Functions Sums, Differences, Products, and Quotients Two functions ? and ? can be combined to form new functions ? + ? , ? − ? , ?? , and ? / ? . Here is how these new functions are created: Example 1 Combinations of Functions and Their Domains Let ? ¡ = 1 +3 and ? ¡ = ¢ . (a) Find the functions ? + ? , ? − ? , ?? , and ? / ? and their domains. (b) Find ? + ?¡ 4 ¡ , ? − ?¡ 4 ¡ , ??¡ 4 ¡ , and £ ? ? ¤ 4 ¡ . Algebra of Functions Let ? and ? be functions with domains A and B. Then the functions ? + ? , ? − ? , ?? , and ? / ? are defined as follows. ? + ?¡ ( ) = ? ¡ + ? ( ) Domain ¥ ∩ ¦ ? − ?¡ ( ) = ? ¡ − ? ( ) Domain ¥ ∩ ¦ ??¡ ( ) = ? ¡? ( ) Domain ¥ ∩ ¦ § ? ? ¨ ( ) = ? ( ) ? ( ) Domain ( ∈ ¥ ∩ ¦ : ? ¡ ≠ 0} Math 1650 Lecture Notes §2.7 Jason Snyder, PhD. Combining Functions...
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This note was uploaded on 10/07/2009 for the course MATH 150 taught by Professor Unknown during the Spring '06 term at Ohio State.

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Section 2_7 - Math 1650 Lecture Notes §2.7 Jason Snyder,...

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