1. Tentukan rumus inversi dari fungsi berikut!
a. f(x) =16x-1
b. f(x) =22-8x.
a. f(x) =16x-1
b. f(x) =22-8x.
Jawab:
a. [tex]f^-1(x)= \frac{x-1}{16}[/tex]
b. [tex]f^-1(x)= \frac{x-22}{8}[/tex]
Penjelasan dengan langkah-langkah:
a.
[tex]f(x) =16x-1\\\\misal f(x) = y\\\\y = 16x-1\\y-1 = 16x\\\frac{y-1}{16} = x\\\\ maka f^-1(x)= \frac{x-1}{16}[/tex]
b
[tex]f(x) =22-8x\\\\misal f(x) = y\\\\y = 22-8x\\y-22 = 8x\\\frac{y-22}{8} = x\\\\ maka f^-1(x)= \frac{x-22}{8}[/tex]
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