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Find the domain for which the functions f(x) = 2x2 – 1 and g (x) = 1 – 3x are equal. |
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Answer» For f(x) = g (x) ⇒ 2x2 – 1 = 1 – 3x ⇒ 2x2 + 3x – 2 = 0 ⇒ 2x2 + 4x – x – 2 = 0 ⇒ 2x (x + 2) – 1 (x + 2) = 0 ⇒ (2x – 1) (x + 2) = 0 Thus domain for which the function f (x) = g (x) is {1/2, -2}. |
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