Answer:
x ≠ -1, x ≠ 4
Step-by-step explanation:
Hello!
We can find the domain by finding what values of x make the denominator of the fraction be equal to 0. If the denominator is 0, the function would be undefined, as we can't divide by 0.
The values that we find for x are restrictions for x, as it can't be those values.
Solve for x
- x² - 3x - 4 = 0
- x² - 4x + x - 4 = 0
- x(x - 4) + 1 (x - 4) = 0
- (x + 1)(x - 4) = 0
- x = -1, x = 4
The domain includes all real numbers, except -1 and 4.