Question

What are the domain restrictions of the expression h2+3h−10h2−12h+20 ?Select each correct answer. h≠−5h≠−2h≠2h≠10h≠5h≠−10

Answer 1

We have the expression:

$\frac{h^2+3h-10}{h^2-12h+20}$

To determine the restrictions we factor the quadratic function in the denominator (Since is the only one that is capable of making the expression not make sense):

*What we will be looking are the values that make that function zero:

$h^2-12h+20=(h-10)(h-2)$

From this, we can see that the values that present a restriction (The values that will make the denominator zero) are:

h = 10 & h = 2.

So, the two answers are h = 10 & h = 2.