Use the graphs of f and g to solve Exercises 83–90.
Find (fg) (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, finding f(2) means determining the value of f when x equals 2. This concept is fundamental in understanding how functions behave at specific points.

Product of Functions

The product of two functions, denoted as (fg)(x), is defined as the multiplication of their outputs at a given input x. Specifically, (fg)(x) = f(x) * g(x). To find (fg)(2), one must first evaluate f(2) and g(2), then multiply these results together, illustrating how functions can interact through multiplication.

Graph Interpretation

Interpreting graphs of functions involves analyzing visual representations to extract information about the functions' values at specific points. In this case, the graphs of f(x) and g(x) can be used to find f(2) and g(2) by locating the corresponding y-values at x = 2. This skill is crucial for solving problems that require understanding the behavior of functions graphically.