Can someone find the domain interval notations?
The first function is a rational expression, and because you have a variable in the denominatory, you need to check which values of x will make your denominator 0. When the denominator is 0, your fraction is undefined, and those values are outside of the domain. Set the dominator equal to zero: 4 + 3x = 0 3x = -4 x = -4/3 This means that x cannot equal -4/3 so your domain in interval notation would look like this: (-oo , -4/3) U (-4/3 , oo) using parenthesis instead of brackets shows that your values are not inclouded in the domain. The second function is a square root, so you have to think what you cannot take the square root of, which would be negative numbers. Set the inside less than zero. 7 – 2x < 0 -2x < -7 x > 7/2 This means that x cannot be > 7/2 So, it must be <= to 7/2 So your domain in interval notation is (-oo , 7/2] This time you use a bracket on 7/2 because it's Included in your domain.
