# Activity 4 - step process. ±ind the inverse of f ( x ) = 3...

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Activity 4 Name 1.8 Inverse Functions Two functions f ( x ) and g ( x ) are inverses if f ( g ( x )) = x and g ( f ( x )) = x (for all x values in the domains of g and of f , respectively). A function f has an inverse if and only if f is 1-1. A function f is 1-1 if and only if the graph of f passes the horizonal line test. 1. Determine whether the functions below are inverses. f ( x ) = x + 3 2 x - 1 ; g ( x ) = x + 3 2 x - 1 2. Determine which of the following are graphs are 1-1 functions. -1 1 2 3 4 x -1 1 2 3 4 y -1 1 2 3 4 x -4 -2 2 4 y f ( x ) = ( x - 1) 3 + 1 f ( x ) = 25 14 ( x + 2 5 )( x - 1)( x - 7 5 )

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Once we determine that a function has an inverse we can Fnd the inverse using a three
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Unformatted text preview: step process. ±ind the inverse of f ( x ) = 3 √ x + 2. Step 1: y = 3 √ x + 2 • Write y = f ( x ). Step 2: y 3 = ( 3 √ x + 2) 3 • Solve for x . y 3 = x + 2 y 3-2 = x Step 3: x 3-2 = f-1 ( x ) • Replace x for y and f-1 ( x ) for x . 3. Determine if the function is 1-1 (Hint: start by graphing the function). If it is Fnd the inverse ( f-1 ( x )). a) f ( x ) = 4 x + 3 b) g ( x ) = ( x + 1) 2 c) h ( x ) = ( x + 1) 3...
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## This note was uploaded on 04/14/2008 for the course MATH 138 taught by Professor Hubbard during the Spring '08 term at Stephen F Austin State University.

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Activity 4 - step process. ±ind the inverse of f ( x ) = 3...

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