Question

Find the domain for y=√5x+8

so that a list of x values can be picked to find a list of points, which will help graphing the radical.

Answer 1

The domain of the function y = √(5x + 8) is x ≥ -8/5.

Step-by-step explanation:

The domain of a function defines the set of values that the independent variable can take. In this case, we have the function y = √(5x + 8). Since we are dealing with a square root, the expression inside the square root (5x + 8) must be greater than or equal to 0, in order for the function to be defined. Therefore, we solve the inequality 5x + 8 ≥ 0:

5x + 8 ≥ 0

5x ≥ -8

x ≥ -8/5

So, the domain of the function is x ≥ -8/5. This means that any x value greater than or equal to -8/5 can be picked to find a list of points to help graph the radical function y = √(5x + 8).