Question

sec 3.2 domain and range of functions: prob (1 point) find the domain of the function given and enter your answer using interval notation: $y = \frac{4x + 9}{5x + 5}$ the domain is (type inf for the infinity symbol. type u for the union symbol.) preview my answers submit answers you have attempted this problem 0 times. you have unlimited attempts remaining. email instructor page generated september 23, 2025, 9:02:43 pm cdt

Explanation:

Step1: Identify values to exclude

The denominator of a fraction cannot be zero. So we set $5x + 5=0$.

Step2: Solve for x

$5x+5 = 0$ implies $5x=-5$, then $x=- 1$.

Step3: Write domain in interval notation

The domain includes all real - numbers except $x = - 1$. In interval notation, it is $(-\infty,-1)\cup(-1,\infty)$.

Answer:

$(-\infty,-1)\cup(-1,\infty)$