Question

question #16 determine the domain restriction(s) or excluded values of the following rational expression: $\frac{2x + 5}{x - 7}$
$x = 7$
$x=-7$
$x =-\frac{5}{2}$
$x=\frac{5}{2}$

Explanation:

Step1: Recall domain - rule for rational functions

The denominator of a rational function cannot be zero. For the function $\frac{2x + 5}{x - 7}$, we set the denominator equal to zero.
$x-7=0$

Step2: Solve for x

Add 7 to both sides of the equation.
$x=7$

Answer:

$x = 7$