Question

What is the domain of the function g(x) = 3x/(x+8)?

a) All real numbers except x = -8
b) All real numbers except x = 0
c) All real numbers except x = -3
d) All real numbers except x = 8

Answer 1

The domain of the function g(x) = 3x/(x+8) is all real numbers except x = -8, since the function is undefined when x = -8 (denominator equals zero).

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In the case of the function g(x) = 3x/(x+8), we must consider values of x for which the denominator does not equal zero, because division by zero is undefined. The only value that makes the denominator equal to zero is x = -8. Therefore, the domain is all real numbers except for x = -8.