Answer:
Step-by-step explanation:
The given function are f(x) = x - [tex]\frac{3}{x}[/tex]
and g(x) = (5x - 4)
We have to find ( fog) (x)
(fog) (x) = f [g(x)]
= (5x - 4) [tex]\frac{-3}{5x-4}[/tex]
= [tex]\frac{(5x-4)^{2}-3}{(5x-4)}[/tex]
This function is not defined for 5x - 4 = 0
or x = [tex]\frac{4}{5}[/tex]
So domain of the function will be ( -∞, [tex]\frac{4}{5}[/tex])∪( [tex]\frac{4}{5}[/tex],∞)
