What are two things we look for in an equation that can tell us what's NOT in it's domain?

1. Value for which denominator is 0.

2. Value for which we get negative sing inside the root or log.

Step-by-step explanation:

Domain is the set of input values.

If a function is not defined for a set of value then they are NOT in it's domain.

Two we look for in an equation that can tell us what's NOT in it's domain :

1. Value for which denominator is 0.

2. Value for which radicand is negative because negative values inside the square roots are not real.  Value for which log values are negative because log is not defined for negative values.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!