Question

What is the domain of (f/g) (x)?

Answer 1

Answer:

Option C ${x | -2 < x \leq 7 }$

Step-by-step explanation:

The domain is the input values of the function for which the function has values. Since the operations in the function are radicals, the inside of the radicals must be greater than 0 otherwise imaginary numbers will result. The denominator also cannot equal 0 because dividing by 0 does not exist. To find these, we set the inside of the radicals equal to 0.

x+2=0

x=-2

x=7=0

x=7

The domain is between -2 and 7. ${x | -2 < x \leq 7 }$. It can be equal to 7 as well as less than 7.