Invers dari fungsi [tex]f(x) = \frac{3x - 2}{5x + 8} [/tex] , x ≠ [tex] - \frac{8}{5} [/tex] adalah...

[tex]f(x) = \frac{3x - 2}{5x + 8} \\ y = \frac{3x - 2}{5x + 8} \\ y(5x + 8) = 3x - 2 \\ 5xy + 8y = 3x - 2 \\ 5xy - 3x = - 2 - 8y \\ x(5y - 3) = - 2 - 8y \\ x = \frac{ - 2 - 8y}{5y - 3} \\ f {}^{ - 1} (x) = \frac{ - 2 - 8x}{5x - 3} \\atau \\ {f}^{ - 1} (x) = \frac{ - (2 + 8x)}{ - (-5x + 3)} \\ f { }^{ - 1} (x) = \frac{8x + 2}{3 - 5x} [/tex]
x ≠ 3/5