sydtutt sydtutt
  • 09-11-2018
  • Mathematics
contestada

if f(x)=1/9x - 2, what is f^-1 (x)

Respuesta :

gmany
gmany gmany
  • 10-11-2018

[tex]f(x)=\dfrac{1}{9}x-2\to y=\dfrac{1}{9}x-2[/tex]

exchange x with y

[tex]x=\dfrac{1}{9}y-2[/tex]

solve for y

[tex]\dfrac{1}{9}y-2=x[/tex]       add 2 to both sides

[tex]\dfrac{1}{9}y=x+2[/tex]       multiply both sides by 9

[tex]y=9x+18[/tex]

Answer: [tex]f^{-1}(x)=9x+18[/tex]

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