michelle4743 michelle4743
  • 02-05-2020
  • Mathematics
contestada

19. If f(x) = 6x + 3, find f-1(x).

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2020

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{6}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 6x + 3 ( subtract 3 from both sides )

y - 3 = 6x ( divide both sides by 6 )

[tex]\frac{y-3}{6}[/tex] = x

change y back into terms of x, thus

[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{6}[/tex]

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