Chapter 1 | Functions and Graphs
93
198.
193. f ( x ) = x −1
194. f ( x ) = 1
x +2 For the following exercises, use the graph of f to sketch the graph of its inverse function. 195.
For the following exercises, use composition to determine which pairs of functions are inverses. 199. f ( x ) =8 x , g ( x ) = x 8 200. f ( x ) =8 x +3, g ( x ) = x −3 8 201. f ( x ) =5 x −7, g ( x ) = x +5 7
196.
202. f ( x ) = 2 3
x +2, g ( x ) = 3 2
x +3
203. f ( x ) = 1
x ≠1, g ( x ) = 1 x +1, x ≠0
x −1 ,
204. f ( x ) = x 3 +1, g ( x ) = ( x −1) 1/3
205. f ( x ) = x 2 +2 x +1, x ≥−1, g ( x ) =−1+ x , x ≥0 206. f ( x ) = 4− x 2 , 0≤ x ≤2, g ( x ) = 4− x 2 , 0≤ x ≤2 For the following exercises, evaluate the functions. Give the exact value. 207. tan −1 ⎛ ⎝ 3 3 ⎞ ⎠
197.
⎛ ⎝ − 2 2
⎞ ⎠
208. cos −1
209. cot −1 (1) 210. sin −1 (−1) 211. cos −1 ⎛ ⎝ 3 2
⎞ ⎠
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