Understanding the Square Root Function | Explained with Examples – f(x) = √x

f(x)=√x

The given function is f(x) = √x, which represents the square root of x

The given function is f(x) = √x, which represents the square root of x. In this case, “x” refers to the input variable of the function.

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

1. Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 * 3 = 9. In other words, if we apply the square root function to a number, it gives us the value that was squared to obtain that number.

2. f(x): The notation f(x) represents a function, where “f” is the name of the function and “x” is the input variable. In this case, f(x) = √x means that the function f takes an input value x and returns the square root of x.

Specifically, for any given value of x, f(x) evaluates to the square root of x.

For example:
If x = 9, then f(9) = √9 = 3, as the square root of 9 is 3.
If x = 16, then f(16) = √16 = 4, as the square root of 16 is 4.

You can think of the function f(x) = √x as providing the “opposite” operation to squaring a number. If y is the result of squaring a number x (y = x^2), then f(x) will give you the original value x (x = f(y)).

It’s important to note that the square root function is defined only for non-negative real numbers (x ≥ 0) since the square root of a negative number is not a real number.

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