of the graph of f 2 and −1 . The − 7 ( ) and −1 . + 8 = 0 or = 0 x3 are f x − 7 2 −1 = 0 x3 = −8 x3 77. = 1 x3 = x = 1 x (3x (3x −2 + − + + = 4)2 6 4) 9 0 ( ) ( = + − −2 (u zeros of 7 8 are and 1. g x x6 x3 − 6u + 9 = 0 − 3)2 u − + 8)( x3 x3 2 The of the graph of are −2 and 1. x-intercepts g = 0 − 3 = 0 u 1) = 0 = 3 u ( ) 74. = 0 g x 3x + 4 = 3 Let = 3x + 4 → − 7 − 8 = 0 u u x6 x3 The 2 (3x = + 4)2 − 8 = 0 or x3 = −1 x3 = = 8 x x3 = − 1 x −1 3 = 2 x ( ) (3x (3x = + − + 4)2 6 4) f x The only zero of + 9 + 1 = 0 x3 ( ) = − − −1 The of 7 8 are and 2. g x x6 x3 is . The of the graph of is . − 1 x-intercept f − 1 The of the graph of are −1 and 2. x-intercepts g 3 3
− 7 and −1 . The of the graph of f 2 x3 + 8 = 0 or x3 = −8 x3 −1 = 0 x3 = 1 77. are − 7 2 and −1 . f ( x ) = 0 x = −2 x = 1 (3x + 4)2 − 6 (3x + 4) + 9 = 0 74. The zeros of g ( x ) = x6 + 7 x3 − 8 are −2 and 1. The x-intercepts of the graph of g are −2 and 1. g ( x ) = 0 x6 − 7 x3 − 8 = 0 ( x3 − 8)( x3 + 1) = 0 Let u = 3x + 4 → u 2 u 2 − 6u + 9 = 0 (u − 3)2 = 0 u − 3 = 0 u = 3 3x + 4 = 3 = (3x + 4)2 x3 − 8 = 0 or x3 = 8 x = 2 x3 + 1 = 0 x3 = −1 x = −1 x = − 1 3 The only zero of f ( x ) = (3x + 4)2 − 6 (3x + 4) + 9 The of g ( x ) = x6 − 7 x3 − 8 are −1 and 2. is − 1 . The x-intercept of the graph of f is − 1 . The x-intercepts of the graph of g are −1 and 2. 3 3
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