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 fundamental in understanding how to work with functions and their graphs.

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 crucial for solving problems in algebra.

Function Addition

Function addition refers to the process of combining two functions to create a new function. For two functions f(x) and g(x), the expression (ƒ+g)(x) is defined as f(x) + g(x). This concept is essential for evaluating expressions like (ƒ+g)(2), as it requires calculating the sum of the outputs of both functions at a specific input.