Question

1. # The Domain Of Both F(X) = X – 6 And G(X) = X + 6 Is All Real Numbers. What Is The Domain Of H(X) =?

Solving math problems can be tricky and understanding the domain of a function is no exception. The domain of a function is the set of all real numbers for which it can be evaluated. In this blog post, we will explore the domain of f(x) = x – 6, g(x) = x + 6, and h(x) = ? in order to better understand this concept and how to solve related problems. We’ll look at what makes up a domain and why it’s important for understanding functions, as well as provide examples that you can use to practice your skills. Hopefully by the end of this article, you’ll have a better grasp on the concept of domains in mathematics!

## The domain of both f(x) and g(x)

The domain of a function is the set of all input values for which the function produces a result. For example, the domain of the function f(x) = x – 3 is all real numbers except for 3. The domain of the function g(x) = x + 5 is also all real numbers except for –5.

Thus, the domain of both f(x) and g(x) is all real numbers except for 3 and –5.

## The domain of h(x)

The domain of h(x) is all real numbers.

## How to find the domain of a function

To find the domain of a function, we need to consider what inputs would produce undefined outputs. For the function h(x) = x – x +, we can see that any input where x = 0 would result in an undefined output, since we would be subtracting x from itself. Therefore, the domain of h(x) = {x | x ≠ 0}.

## Conclusion

The domain of h(x) = f(x) + g(x), which is the sum of two functions, is all real numbers. This means that any value for x, whether it be an integer, a fraction or a decimal number, can be added to produce a valid result. As such, no matter what the input x may be, the resulting output will always belong to the set of all real numbers. We hope this article has helped you understand what the domain of h(x) = f(x) + g(x) really means and how you can use it in your own mathematical problems.

2. Have you ever wondered what the domain of both f(x) = x – 6 and g(x) = x + 6 is? Well, look no further! The domain of both of these functions is all real numbers.

But what about the domain of h(x)? Well, the domain of h(x) is also all real numbers like the domain of its two counterparts. This means that the domain of h(x) contains all real numbers, from negative infinity to positive infinity.

So, why is the domain of h(x) the same as the domain of f(x) and g(x)? It all has to do with the nature of the equation h(x). In order for h(x) to be a valid equation, the expression must be equal to a real number. Since the expression h(x) is equal to a real number, the domain of h(x) must contain all real numbers in order to satisfy the equation.

It’s also important to note that the domain of h(x) does not depend on the values of x in f(x) and g(x). This means that even if you change the values of x in f(x) and g(x), the domain of h(x) will remain unaltered.

So, there you have it! The domain of both f(x) = x – 6 and g(x) = x + 6 is all real numbers and the domain of h(x) is also all real numbers!