Question

If f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?

Answer 1

The domain is all real values of x except .4/5

Explanation:

Answer 2

The domain is all real values of x except
`(4)/(5)`.

Explanation:

The function,
`f(x) = (x - 3)/(x)`.

g(x) = 5x - 4.

Hence, (f circle g) (x) =
`(5x - 4 - 3)/(5x - 4)`.

We need to find the domain of (f circle g) (x) .

The domain means the set of values of x, for which we will get a real value of (f circle g) (x).

The function will not give a real value when, 5x - 4 = 0 that is
`x = (4)/(5)`.

Hence, the domain of the function will be all real values of x rather than
`(4)/(5)`.