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]