Question

determine a inversa das função f de x = 4x - 1

Answer 1

$f(x) = 4x - 1 \\ y = 4x - 1 \\ x = 4y - 1 \\ - 4y = - x - 1( - 1) \\ 4y= x + 1 \\ y = \frac{x + 1}{4}$

Answer 2

Oie, tudo bom?

$f(x) = 4x - 1 \\ \boxed{f(x)⟶y} \\ y = 4x - 1 \\ \boxed{x⟷y} \\ x = 4y - 1 \\ 4y - 1 = x \\ 4y = x + 1 \\ y = \frac{1}{4} x + \frac{1}{4} \\ \boxed{y⟶f {}^{ - 1}(x) } \\ \boxed{f {}^{ - 1}(x) = \frac{1}{4} x + \frac{1}{4} }$

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