Question

F(x) = -4x / (x² + x)

Domain:
a) All real numbers except x = 0
b) All real numbers except x = -1
c) All real numbers except x = 0 and x = -1
d) All real numbers

Answer 1

The domain of the function f(x) = -4x / (x² + x) is all real numbers except x = 0 and x = -1.

Step-by-step explanation:

The domain of the function f(x) = -4x / (x² + x) is all real numbers except x = 0 and x = -1.

To find the domain of a rational function, we need to determine the values of x that make the denominator equal to zero. In this case, the denominator is x² + x.

Setting it equal to zero gives us x(x + 1) = 0. So, the values of x that will make the denominator zero are x = 0 and x = -1. Therefore, the domain of the function is all real numbers except x = 0 and x = -1.