CaliMarie02 CaliMarie02
  • 08-01-2019
  • Mathematics
contestada

inverse fraction of f(x)=2x+1

Respuesta :

jimrgrant1 jimrgrant1
  • 08-01-2019

Answer:

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

Step-by-step explanation:

let f(x) = y, then y = 2x + 1

rearrange, making x the subject

subtract 1 from both sides

y - 1 = 2x ( divide both sides by 2 )

x = [tex]\frac{y-1}{2}[/tex]

change y back into terms of x

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


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