bella9056 bella9056
  • 19-12-2019
  • Mathematics
contestada

If f(x) = 4x - 3, what is f(x)^-1

Respuesta :

jimrgrant1 jimrgrant1
  • 19-12-2019

Answer:

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

Step-by-step explanation:

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

y = 4x - 3 ( add 3 to both sides )

y + 3 = 4x ( divide both sides by 4 )

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

Change y back into terms of x

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

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