Find the sum of a linear equation and square root function to find domain

The video tutorial explains the process of adding functions, focusing on the absence of like terms in the given example. It highlights the importance of understanding the domain of functions, particularly when combining them. The domain of the combined function is determined by the most restrictive domain, which in this case is influenced by the square root function, limiting it to non-negative numbers.

What is the result when adding two functions with no like terms?

• The functions cancel each other out

• The functions are multiplied

• The functions are simply added together

• The functions are divided

What is the domain of a linear function?

• Only negative numbers

• All real numbers

• Only positive numbers

• Non-negative numbers

Why can't the domain of a square root function include negative numbers?

• Because it results in a negative number

• Because it results in zero

• Because it results in a positive number

• Because it results in a complex number

How is the domain of a combined function determined?

• By taking the sum of the domains of the individual functions

• By taking the intersection of the domains of the individual functions

• By taking the union of the domains of the individual functions

• By taking the difference of the domains of the individual functions

What is the domain of the combined function in this example?

• All real numbers

• Zero to infinity

• Negative infinity to positive infinity

• Negative numbers only