Understanding the Math Expression Y = f(-x): A Breakdown of Function Evaluation with Negative Input Value

Y=f(-x)

The expression Y = f(-x) represents a function, where the input value is -x

The expression Y = f(-x) represents a function, where the input value is -x. In this case, the function f is being applied to the negative value of x.

To understand how this function works, let’s break it down:

1. The input value is -x: This means that whatever value you have for x, you need to take its negation (-x) and substitute it into the function.

2. f represents the function itself: We don’t have the specific definition of the function f, but we know that it operates on a single variable and returns a corresponding value. Every function has its own set of rules for how it processes the input.

3. Y is the output value: The Y represents the result of evaluating the function f(-x) with the given input value (-x).

To find the value of Y, you would need to know the specific function f and substitute -x into it. Without more information about the function f, we cannot determine the exact value of Y.

For example, let’s say we have the function f(x) = 2x + 3. To find Y = f(-x), we substitute -x into the function:

Y = f(-x) = 2(-x) + 3

Simplifying, we get:

Y = -2x + 3

Now, every value of x you plug into this expression will give you a corresponding value for Y.

In summary, the expression Y = f(-x) represents a function where the input value is -x, and the output value Y is determined by applying the rules of the specific function f to that input.

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