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Practice problems from refresher course math 1050 and 1060 focused on graphing functions and performing function operations, including finding differences, domains, and inverse functions.
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1.) Sketch the graph of each of the following:
a.)
2 y = โ( x + 3 ) b.) g ( x )= x โ 2 โ 1 c.) y = x + 3 + 5
d.) ( ) 2
3 f x = โ x + e.)
2 p ( x )=โ 3 x
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2.) Let f ( x )= 2 x + 1 and ( ) 2 1
2 g x = x + x โ. Find ( f โ g )( x ). Then evaluate the
difference when x =2.
3.) Let f ( x )= x and g ( x )= x. Find the domain of f + g.
4.) Let
7
x
f x and g ( x )= x โ 5. Find f o g and its domain.
5.) Find the inverse of
2
x f x