Question

What are the domain restrictions of the expression?

Answer 1

Hello from MrBillDoesMath!

Answer: h <> 10 and h <> 2 ( <> means not equal)

Discussion :

The domain restrictions are where the denominator is 0. In this problem that occurs when

h^2 -12h + 20 = 0.

Factoring this equation gives

(h-10) (h-2) = 0

So the values h = 10 and h =2 are NOT in the domain of this function,

Regards, MrB

Answer 2

h^2 - 12h + 20 can be factored to:

(h-10)(h-2)

These cannot be zero so, h cannot be 10 or 2.