Use the graph to evaluate each expression. See Example 3(a). (ƒ/g)(2)

Key Concepts

Function Evaluation

Function evaluation involves substituting a specific input value into a function to determine its output. For example, if f(x) is a function, then f(2) means finding the value of f when x equals 2. This concept is crucial for understanding how to compute values from graphs or equations.

Graph Interpretation

Graph interpretation is the ability to read and analyze graphical representations of functions. In this context, it involves identifying the values of f(2) and g(2) from the graph, which are necessary for evaluating the expression (ƒ/g)(2). Understanding how to extract information from graphs is essential for solving problems in algebra.

Rational Functions

A rational function is a function that can be expressed as the ratio of two polynomials, such as (ƒ/g)(x) = f(x)/g(x). Evaluating this function at a specific point, like (ƒ/g)(2), requires knowing both f(2) and g(2). This concept is important for understanding how to manipulate and compute values involving multiple functions.