We find the inverse function as follows, solving for y (Assuming g(x) as y):
The function is incredbly complex given the x^4, the x^2 and the x since there is not an easy way to factor it.
Explaining:
When you have a function:
[tex]f(x)=6x-8[/tex](Here f(x)=y) You will determine the inverse function by solving for x:
[tex]y=6x-8\Rightarrow y+8=6x\Rightarrow\frac{y+8}{6}=x\Rightarrow g(y)=\frac{y+8}{6}[/tex]Here g(y) is going to represent the inverse function of f(x)