Understanding Subtraction of Functions | Explained with Examples and Important Considerations

f(x) – g(x)

The expression “f(x) – g(x)” represents the subtraction of two functions, f(x) and g(x)

The expression “f(x) – g(x)” represents the subtraction of two functions, f(x) and g(x). When you subtract two functions, you are essentially subtracting the corresponding values of the functions at each input value, x.

To explain this further, let’s consider an example. Suppose we have two functions, f(x) = 2x^2 and g(x) = 4x + 5. The expression f(x) – g(x) would be:

f(x) – g(x) = (2x^2) – (4x + 5)

To simplify this expression, we need to distribute the negative sign to the terms inside the parentheses:

f(x) – g(x) = 2x^2 – 4x – 5

So, when we subtract function g(x) from function f(x), we end up with the new function 2x^2 – 4x – 5. This new function represents the difference between the original functions f(x) and g(x) at every input value of x.

It is important to note that the subtraction of functions is applicable only when the functions have the same domain. In other words, the input values (x) for both functions should be valid for the subtraction operation.

More Answers: