Question

State the restrictions to the domain:frac(5xbracket(x+9),x+8)

Answer 1

The restriction to the domain is that x cannot be equal to -8.

Step-by-step explanation:

The given expression is a fraction with the numerator 5x(x+9) and the denominator (x+8).

To find the restrictions to the domain, we need to determine the values of x that would make the denominator zero. Setting the denominator equal to zero, we get:

(x+8) = 0

Solving for x, we find:

x = -8

Therefore, the restriction to the domain is that x cannot be equal to -8.

This means that all real numbers are allowed as long as they are not -8.