Question

Find the domain of the function.
f(x) = (x + 4 )/(x² - 25)

Answer 1

The domain of the function is all real numbers except x = -5 and x = 5.

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, we need to find the values of x that make the denominator (x² - 25) non-zero, since division by zero is undefined.

So, we set the denominator equal to zero and solve for x:

x² - 25 = 0

(x + 5)(x - 5) = 0

x = -5, 5

Hence, the domain of the function is all real numbers except x = -5 and x = 5.