Here are the essential concepts you must grasp in order to answer the question correctly.
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, evaluating f(1) means finding the value of f when x equals 1. This concept is crucial for understanding how to use graphs to find function values at given points.
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Graph Interpretation
Graph interpretation is the ability to read and analyze graphical representations of functions. In this case, the graph shows f(x) as a parabola and g(x) as a linear function. Understanding how to extract information from the graph, such as the coordinates of points and the behavior of the functions, is essential for evaluating expressions like (ƒ/g)(1).
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Function Composition
Function composition involves combining two functions to create a new function, typically denoted as (f/g)(x) = f(x) / g(x). This means that for a given x, you first evaluate g(x) and then use that result to evaluate f. Understanding how to perform this operation is key to solving the problem presented in the question.
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