Use the table to evaluate each expression, if possible. (f/g) (0)

Key Concepts

Function Evaluation

Function evaluation involves substituting a specific input value into a function to determine its output. In this case, evaluating (f/g)(0) requires finding the values of functions f and g at x = 0, and then calculating the quotient of these values. Understanding how to evaluate functions at given points is essential for solving problems involving function operations.

Division of Functions

The division of functions, represented as (f/g)(x), is defined as the quotient of two functions f(x) and g(x). This operation is only valid when g(x) is not equal to zero, as division by zero is undefined. Therefore, when evaluating (f/g)(0), it is crucial to check if g(0) is zero to avoid undefined expressions.

Domain of a Function

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For the expression (f/g)(0), it is important to consider the domains of both f and g to ensure that 0 is within the domain of both functions. If either function is undefined at x = 0, the overall expression cannot be evaluated.