Find the values of x for which the functions f (x) = 3x² – 1 and g (x) = 3 + x are equal * -1, -4/3 1, -4/3 -1, 4/3 none
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Answer:
f(x) = g(x)
3x² - 1 = 3 + x
3x² - x - 1 - 3 = 0
3x² - x - 4 = 0
3x² + 3x - 4x - 4 = 0
3x(x + 1) - 4(x + 1) = 0
(x+1) (3x-4) = 0
x + 1 = 0; x = -1
3x - 4 = 0; 3x = 4; x = 4/3
hence the answer is -1, 4/3
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