The domain of a function is the set of values for which the function is defined; i.e. the function outputs a value for an input from the domain. That means that we must be able to plug in numbers for x and get numbers from y.
We can't take the square root of negative numbers (ignoring imaginary numbers), so that means we can take the square root of any non-negative number; i.e. we can take the square root of zero, and any positive number.
Therefore, any function that can take in values of x that are zero or more than zero has the same domain as the given function. So

is a function that has the same domain as

.
Step-by-step explanation:
Let the number Noah is thinking of be x,
=> x - 19 * 4 = 16
=> x - 19 = 16/4
=> x = 16/4 + 19
=> x = 4 + 19
=> x = 23
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Step-by-step explanation:
The given inequality is :

Solving RHS of the inequality:

Adding 6 both sides of the inequality

The attached figure shows the graph for the given inequality.
Well, 3^9 is the same thing as
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
So 3^9 is equal to 19,683
The answer to this is .5 or 1/2.