This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Math 1330 Section 1.4 Example 4: The graphs of two functions, f and g , are shown below. Find the following a. gG + ¡¢g0¢ b. g¡ − G¢g2¢ c. g¡ ∘ G¢g2¢ d. G£¡g−3¢¤-1-2-4-2-5-4-3 5 4 3 2 2 1 1 3 4-1-3-5 Math 1330 Section 1.5 Section 1.5: Inverse Functions We’ll start by reviewing one-to-one functions . A function is one-to-one if it passes the Horizontal Line Test (HLT). The Horizontal Line Test: A function is one-to-one if any horizontal line intersects the graph of the function in no more than one point. Example 1: Determine if the function graphed is one-to-one. The inverse function of a one-to-one function is a function g G¡ ¢£¤ such that ¢g ¥ g G¡ ¤ ¦ ¢g G¡ ¥ g¤ ¦ £ . To determine if two functions are inverses of one another, you need to compose the functions in both orders. Your result should be x in both cases. That is, given two functions f and g , the functions are inverses of one another if and one if f ( g ( x )) = g ( f ( x )) = x ....
View Full Document
This note was uploaded on 09/14/2011 for the course MATH calc taught by Professor N/a during the Spring '10 term at University of Houston.
- Spring '10