maddielakeland maddielakeland
  • 23-10-2021
  • Mathematics
contestada

f(x) =4 over x - 3
g(x) =x - 2 over x
(a) Express the inverse function f −1
in the form f ^-1 (x)

Respuesta :

towl35
towl35 towl35
  • 23-10-2021

Step-by-step explanation:

[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]

[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]

[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]

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