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Unformatted text preview: (d) Graph the function. (e) Based on the graph, ﬁnd the range. 5. Find the domain of the given function: (a) f ( x ) = √ x − 2 (b) f ( x ) = 4 1 − x 2 6. Graph the function f ( x ) = 2 − 1 x + 1 using the techniques of shifting and/or reﬂecting. Show all steps!!! 7. Given f ( x ) = 1 x and g ( x ) = x + √ 1 − x, ﬁnd the following expressions: (a) ( f ◦ g )(1) [Evaluate!] (b) ( g ◦ f )(1) [Evaluate!] (c) ( f ◦ f )( x ) (d) ( g ◦ g )( x ) 8. The function f ( x ) = 1 − x 3 is onetoone. (a) Find the inverse of f. (b) State the domain and range of f. (c) State the domain and range of f1 . (d) Graph f, f1 , and y = x on the same coordinate plane. 9. Use transformations to graph the function f ( x ) = √ 1 − x − 2 ....
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This note was uploaded on 02/27/2012 for the course MATH 8650 taught by Professor Kiryltsishchanka during the Spring '12 term at NYU.
 Spring '12
 KIRYLTSISHCHANKA
 Math, Calculus, Algebra

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