Multiplying Functions in Mathematics | Understanding f(x) * g(x) and the Steps to Find the Product

f(x) * g(x)

In mathematics, f(x) * g(x) represents the multiplication of two functions, f(x) and g(x)

In mathematics, f(x) * g(x) represents the multiplication of two functions, f(x) and g(x). It means that you are multiplying the values of the two functions for each value of x.

To find the product of two functions, you need to follow these steps:

1. Determine the given functions: Let’s say you have two functions, f(x) and g(x).

2. Express the functions: Write down the expressions for f(x) and g(x) separately. For example, f(x) = 2x and g(x) = x^2.

3. Substitute x: Replace x in each function expression with the given value(s) or variable(s).

4. Multiply the functions: Multiply the resulting values obtained from substituting x in each function. This means you multiply the values f(x) and g(x) give you for each x.

For example, if we have f(x) = 2x and g(x) = x^2, and we want to find the product f(x) * g(x), we can substitute x into each function and multiply the resulting values.

Let’s say x = 3, then:
f(x) = 2(3) = 6
g(x) = (3)^2 = 9

To find f(x) * g(x), we multiply the values:
f(x) * g(x) = 6 * 9 = 54

Therefore, f(x) * g(x) = 54.

It is important to note that the product of two functions is not commutative, meaning that f(x) * g(x) may not be the same as g(x) * f(x).

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