Understanding the Mathematical Function Y = f(-x): Step by Step Explanation and Examples

Y=f(-x)

The expression Y = f(-x) represents a mathematical function, where the input values are multiplied by -1 and then passed through the function f

The expression Y = f(-x) represents a mathematical function, where the input values are multiplied by -1 and then passed through the function f.

To understand this more, let’s break it down step by step:

1. Input value: The input value of the function is represented by x. Any value can be assigned to x, such as a number, variable, or even an expression.

2. Negation: The input value x is multiplied by -1. This means that the sign of the input value is flipped. For example, if x = 3, then -x would be -3.

3. Applying the function f: The negated value (-x) is then passed through the function f. The function f represents a set of mathematical operations, which could be any arithmetic calculation, algebraic expression, or even a complex mathematical function. The specific details of the function f are not provided in the given expression.

4. The output: The result of applying the function f to the negated input (-x) is represented by Y. This output value Y can be assigned to any variable or used in further calculations.

In summary, the expression Y = f(-x) indicates that the input value x is negated (-x) and then passed through the function f to obtain the corresponding output value Y.

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