Question

The function is defined below. h(x)=x-6/x^2-81
The function g is defined below. g(x)=(x^2)(-12x+35)/(x-5)
Find all values of
that are NOT in the domain of .
If there is more than one value, separate them with
commas.

Answer 1

For the given function x=5 is not in the domain.

for h(x)=(x-6)/(x2-81), any number divided by zero is undefined.

So equating you denominator to "0" and solve for x will gives values not in the domain.

The key to finding values that are not in the domain of the function is finding any values that produce 0 in the denominator or negative numbers under radicals that have an even index .

→x²-81= x²-92=0  (difference of squares)

→(x-9)(x+9)=0

→x-9=0 and x+9=0

→x=9 and x=-9 not in the domain.

For the second question.

Again, the denominator is, so then we get  x-5

→x-5=0

→x=5 is not in the domain.

To learn more about the domain functions.

https://brainly.com/question/12957603

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