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

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

The domain is all real values of x except $\frac{4}{5}$.

Step-by-step explanation:

The function, $f(x) = \frac{x - 3}{x}$.

g(x) = 5x - 4.

Hence, (f circle g) (x) = $\frac{5x - 4 - 3}{5x - 4}$.

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 $x = \frac{4}{5}$.

Hence, the domain of the function will be all real values of x rather than $\frac{4}{5}$.