skyhigh9014 skyhigh9014
  • 18-07-2020
  • Mathematics
contestada

Find the inverse of g(x) = 3x^2 - 5

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 18-07-2020

Answer:

[tex]\boxed{\sf \ \ \ g^{-1}(x)=\sqrt{\dfrac{x+5}{3}} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x=(gog^{-1})(x)=g(g^{-1}(x))=3(g^{-1}(x))^2-5\\\\<=>3(g^{-1}(x))^2 = x+5\\\\\\<=> (g^{-1}(x))^2=\dfrac{x+5}{3}\\<=>g^{-1}(x)=\sqrt{\dfrac{x+5}{3}}[/tex]

hope this helps

Answer Link
svnt17XNL svnt17XNL
  • 18-07-2020

Answer: i think its -3x^2 + 5

Step-by-step explanation:

inverses are when you switch the negates, so i'm assuming you switch them.

sorry if i am wrong !

Answer Link

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