The function h is is defined below.

h(x)=48x^2+ 12x - 16

Find all values of x that are NOT in the domain of h.

If there is more than one value, separate them with commas.

I'm lost.

2 answers

The function h is is defined below
h(x)=(x+6)/(x^2+9x+8)

Find all values of x that are NOT in the domain of h.

If there is more than one value, separate them with commas.
This is a rational function.
The domain is in the Real numbers, i.e. (-∞,∞) except where the denominator becomes zero.
Therefore solving for
(x^2+9x+8) = 0
(x+8)(x+1) = 0
or x=-8, or x=-1.
Therefore the values of x that do not belong to the domain of f(x) is -8 and -1.
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