What is the domain of the rational expression ? : ))

In a rational expression , the denominator should not be zero. SO we need to find those values for x which makes the denominator 0 . And we need to exclude those values from the domain .

So when x =4, denominator becomes zero, so x=4 is not a part of the domain . Therefore the required domain is

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is