The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
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We need to know the definition of the "combined function" h(x). I'm going to guess--by looking at answers--that the function is

making it

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined). Factor the denominator.

The two values of x that make the denominator 0 are 3 and -3, otherwise written

.
Im not good at math so i use math-way.com