Question
It is given that the functions f(x) = 3x2 - 1 and g(x) = 3 + x are equal.

Answer

$\therefore$ f(x) = g(x)
⇒ 3x2 - 1 = 3 + x
⇒ 3x2 - x - 4 = 0
⇒ (x + 1)(3x - 4) = 0
⇒ x + 1 = 0 or 3x - 4 = 0
⇒ x = -1 or $\text{x}=\frac{4}{3}$

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