Answer:
Domain and range both [tex](-\infty, \infty)[/tex]
Step-by-step explanation:
The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.
The inverse of the function can be found as such:
[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].
Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.
So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]
