Question

Which values are NOT in the domain of the function?

f(x)
x +4
x2 – 25
O
A) x = -4,4
B) 2 = -5,4
C) x = -4,5
OD) X = -5,5

Answer 1

Given:

The function is:

`f(x)=(x+4)/(x^2-25)`

To find:

The values that are NOT in the domain of the given function.

Solution:

We have,

`f(x)=(x+4)/(x^2-25)`

This function is a rational function and it is defined for all real values of x except the values for which the denominator is equal to 0.

Equate the denominator and 0.

`x^2-25=0`

`x^2=25`

Taking square root on both sides, we get

`x=\pm √(25)`

`x=\pm 5`

So, the values
`x=-5,5` are not in the domain of the given function.

Therefore, the correct option is D.