Meowthteam
Meowthteam Meowthteam
  • 03-12-2018
  • Mathematics
contestada

g(x)=−43x+2




g^−1(x)=43x−2

g^−1(x)=−43x−2

g^−1(x)=34x+23

g^−1(x)=−34x+32

Respuesta :

gmany
gmany gmany
  • 04-12-2018

[tex]g(x)=-\dfrac{4}{3}x+2\to y=-\dfrac{4}{3}x+2\\\\\text{exchange x and y}\\\\x=-\dfrac{4}{3}y+2\\\\\text{solve for y}\\\\-\dfrac{4}{3}y+2=x\qquad\text{subtract 2 from both sides}\\\\-\dfrac{4}{3}y=x-2\qquad\text{multiply both sides by (-3)}\\\\4y=-3x+6\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{6}{4}\\\\Answer:\ \boxed{g^{-1}(x)=-\dfrac{3}{4}+\dfrac{3}{2}}[/tex]

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