Question

If f(x)= x-3/x ad g(x)= 5x-4 what is the domain of (f•g)(x)

Answer 1

The answer is .x≠4/5.

Answer 2

Explanation:

The given function are f(x) = x -
`(3)/(x)`

and g(x) = (5x - 4)

We have to find ( fog) (x)

(fog) (x) = f [g(x)]

= (5x - 4)
`(-3)/(5x-4)`

=
`((5x-4)^(2)-3)/((5x-4))`

This function is not defined for 5x - 4 = 0

or x =
`(4)/(5)`

So domain of the function will be ( -∞,
`(4)/(5)`)∪(
`(4)/(5)`,∞)