Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole
Answer:
[0, 6) ∪ [65, ∞)
Step-by-step explanation:
Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.
Ages 65 or older will be in the interval [65, ∞).
The union of these two intervals is ...
[0, 6) ∪ [65, ∞)
We have the following function that is a
quadratic function:
So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:

As you can see in the figure. This function decreases from

and increases from

Finally, another thing we can see from the graph is that the vertex is the point:
I think it’s 700, but I’m not positive