angiemellissa464 angiemellissa464
  • 09-10-2020
  • Mathematics
contestada

Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4

Respuesta :

hnori22003
hnori22003 hnori22003
  • 09-10-2020

[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]

[tex]y = \frac{1}{3}x - 4 \\ [/tex]

Subtract the sides of the equation plus 4

[tex]y + 4 = \frac{1}{3}x \\ [/tex]

Multiply the sides of the equation by 3

[tex]3(y + 4) = x[/tex]

[tex]3y + 12 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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