How do you find the range of a function algebraically y=x+5x−2?

Well first, you have to simplify the equation: which is: y=6x-2
After that, you have to determine the domain, and most of the time, when you can determine the domain, you have to imagine the graph, and in which you can only find the range that way. In order to find the domain however, you just have to know what restricts x. Like in this problem, there are no numbers that violate the rules of math, and since this equation is a linear problem, the domain and range are both ALL REAL NUMBERS.

Range is numbers you get from inputing the numbers from the domain
domain is the numbers you can use

simplify
y=6x-2
no number will make a wierd thing

domain=all real number
range=all real numbers