Question

If g(x) = 4√x-8 , which statement is true?

Answer 1

We have the following function:

$g(x)=4\sqrt{x}-8$

So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:

First. The function is defined only for $x\geq 0$ as shown in the Figure. This is also true because of $\sqrt{x}$ where $x$ must be greater (or equal) than zero.

Second. The range of the function are the values of $y\geq -8$.

Third. If $x$ creases then $y$ always creases, too. 

Answer 2

The x-intercept of f(x) is less than the x-intercept of g(x)