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. In this case, evaluating (f-g)(3) requires calculating the difference between the values of functions f and g at the input of 3. Understanding how to evaluate functions is crucial for solving problems that involve operations on functions.
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Operations on Functions
Operations on functions include addition, subtraction, multiplication, and division of two or more functions. The expression (f-g)(x) represents the subtraction of function g from function f. Mastery of these operations is essential for manipulating and combining functions to find new outputs based on existing ones.
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Function Notation
Function notation is a way to represent functions and their outputs clearly. For example, f(x) denotes the output of function f for input x. Understanding function notation is vital for interpreting expressions like (f-g)(3), as it clarifies which functions are being used and how they relate to each other.
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