kohanlamere4 kohanlamere4
  • 18-07-2021
  • Mathematics
contestada

If f(x) = 5x - 1, then f^-1(x)=

Respuesta :

priyanka26
priyanka26 priyanka26
  • 18-07-2021
f(-1)=5(-1)-1
-5-1
-6
Your answer is-6
Answer Link
jimrgrant1 jimrgrant1
  • 18-07-2021

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x+1}{5}[/tex]

Step-by-step explanation:

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

y = 5x - 1 ( add 1 to both sides )

y + 1 = 5x ( divide both sides by 5 )

[tex]\frac{y+1}{5}[/tex] = x

Change y back into terms of x , with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{5}[/tex]

Answer Link

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