Question

f(x)=3x ,g(x)= √(x - 4)find the formula for (f/g)(x)= ? and simplify it.Find the domain for (f/g)(x)=? round your answer to two decimal places ,if necessary.

Answer 1

Formula: (f/g)(x) = [3x/√(x - 4)]

`(f)/(g)(x)=\frac{3x}{\sqrt[]{x-4}}`

Domain: x ≥ 4

Step-by-step explanation

f(x) = 3x

g(x) = √(x - 4)

For the formula, (f/g) (x), this means we simply substitute the functions

`(f)/(g)(x)=\frac{3x}{\sqrt[]{x-4}}`

And for the domain, we wnow that the domain includes the values of x where the function exists.

Since it is a fraction, the only time this would not exist is when the denominator does not exist.

The denominator exists only when the value under the square root is greater than or equal to 0

x - 4 ≥ 0

x ≥ 4

Hope this Helps!!!