rosemary3885 rosemary3885
  • 10-07-2019
  • Mathematics
contestada

Question 25 of 34
5 Points
If f(x) = 5x - 6, which of these is the inverse of f(x)?

Respuesta :

jimrgrant1 jimrgrant1
  • 10-07-2019

Answer:

[tex]f^{-1}[/tex] (x ) = [tex]\frac{x+6}{5}[/tex]

Step-by-step explanation:

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

y = 5x - 6 ( add 6 to both sides )

y + 6 = 5x ( divide both sides by 5 )

x = [tex]\frac{y+6}{5}[/tex]

Change y back into terms of x

[tex]f^{-1}[/tex] (x ) = [tex]\frac{x+6}{5}[/tex]

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