invers fungsi f(x) = 2x-3/x-4, x=4 adalah

[tex]f(x) = \frac{2x - 3}{x - 4} \\ {f}^{ - 1} (x) \\ y = \frac{2x - 3}{x - 4} \\ y(x - 4) = 2x - 3 \\ yx - 4y = 2x - 3 \\ yx - 2x = 4y - 3 \\ x(y - 2) = 4y - 3 \\ x = \frac{4y - 3}{y - 2} \\ maka \\ {f}^{ - 1} (x) = \frac{4x - 3}{x - 2} \\ {f}^{ - 1} (4) = \frac{4(4) - 3}{4 - 2} \\ = \frac{13}{2} [/tex]

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