Precalculus Practice Exam 3

Precalculus Practice Exam 3 - Practice Exam 3; Precalculus;...

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Practice Exam 3; Precalculus; Spring, 2008 1. Fill in the blanks using the following values: 2 , 3 , 4 , 6 , 0 , 6 , 4 , 3 , 2 π - - - - (a) arccos( 2 / 3 ) = _______ (b) arcsin(– 2 / 3 ) = _______ (c) arctan(–1) = _______ (d) arctan( 3 ) = _______ 2. Let 1 x 1 ) x ( f - = and 2 x ) x ( g = . Find the following: (a) ) 2 ( g ) 2 ( f - (b) ) x ( f ) x ( g (c) )) 3 ( f ( g 3. Complete the table. If the function is not defined at some value of x, write UNDEF. x - 2 - 1 0 1 2 F(x) 2 3 2 - 2 4 G(x) 1 - 2 2 0 - 1 F(G(x)) 4. The function f has a domain consisting of the real numbers x, where x>1. On this domain, f(x) = log(x – 1). Part of the graph of f is shown below. (a) Find a formula for f -1 (x). (b) What is the domain of f -1 ? What is the range of f -1 ? (c) Graph f -1 using the same axes used to graph f.
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5. (a) Is the product of two even functions even, odd, or neither? Justify your answer. (b)
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Precalculus Practice Exam 3 - Practice Exam 3; Precalculus;...

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