daisyramirez84 daisyramirez84
  • 17-12-2019
  • Mathematics
contestada

If f(x) = 9x – 8, which of the following is the inverse of f(x)?

A.
f –1(x) =

B.
f –1(x) =

C.
f –1(x) =

D.
f –1(x) =

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 19-12-2019

Answer: [tex]f^{-1}[/tex] (x) = [tex]\frac{x+8}{9}[/tex]

Step-by-step explanation:

f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes

y = 9x - 8 , then make x , the subject of the formula ,

9x = y + 8

x = [tex]\frac{y+8}{9}[/tex]

Finally , replace x , with [tex]f^{-1}[/tex] (x) and y with x  , so we have

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+8}{9}[/tex]

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