Respuesta :

Answer:

[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]

Step-by-step explanation:

f(x) = 3[tex]x^{2}[/tex] - |

Let y= 3[tex]x^{2}[/tex]-1

Both side -1

y+1=3[tex]x^{2}[/tex]  

[tex]x^{2}[/tex]=    [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]

x=  [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]

[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]