( ) = g x 1 = −1 x x 60. 0 + −1 = x2 x 0 The of the points of intersection x-coordinates = a = = −1 b c are and . The are − 1 y-coordinates 1, 2 1, −1 −(1) ± − (1) 4 2 (−1) (−1) (1)(−1) = 3 + 2 = −3 + 2 = −1 and g −1 ± 5 2(1) 2 ⎛ − 1 ⎞ = 3 ⎛ − 1 ⎞ + 2 = − 3 + 2 = 1 . g ( ) The of = + − 1 g x x2 x and are ⎝ ⎠ ⎝ ⎠ 2 2 2 2 −1 − 5 2 The graphs of the and intersect at the points f g . The of the graph of are −1 + 5 x-intercepts g −1) (−1, and . ⎛ − 1 , 1 ⎞ 2 ⎜ 2 2 ⎟ ⎝ ⎠ −1 − 5 . −1 + 5 2 and 2
60. g ( x ) = 0 1 x x = −1 x2 + x −1 = 0 The x-coordinates of the points of intersection a = 1, b = 1, c = −1 are −1 and − 1 . The y-coordinates are 2 −(1) ± (1) 2 − 4 (1)(−1) −1 ± 5 g (−1) = 3 (−1) + 2 = −3 + 2 = −1 and 2(1) 2 g ⎛ − 1 ⎞ = 3 ⎛ − 1 ⎞ + 2 = − 3 + 2 = 1 . The of g ( x ) = x2 + x − 1 are −1 − 5 and ⎝ 2 ⎠ ⎝ 2 ⎠ 2 2 2 −1 + 5 . The x-intercepts of the graph of g are The graphs of the f and g intersect at the points (−1, −1) and ⎛ − 1 , 1 ⎞ . 2 ⎜ 2 2 ⎟ −1 − 5 2 and ⎝ ⎠ −1 + 5 . 2
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