Answer:
A. 
B. 
C. 
D. 
Step-by-step explanation:
A. To solve the first part of the problem we must replace 
in the function 
So:
B. In part B we must find the inverse function of
To find the inverse function do 
Now clear the variable x.
Replace x with y.
Finally
C. Now we take the inverse function found above and replace
D. Now we substitute 
in the original function.
Answer:
a. The fuel efficiency (mpg) of an automobile is a continuous variable
b. The amount of rainfall at a particular location during the next year is a continuous variable
c. The distance that a person throws a baseball is a continuous variable
d. The number of questions asked during a 1-hr lecture is a discrete variable
e. The tension (in pounds per square inch) at which a tennis racket is strung is a continuous variable
f. The amount of water used by a household during a given month is a continuous variable
g. The number of traffic citations issued by the high- way patrol in a particular county on a given day is a discrete variable
Step-by-step explanation:
<em>Continuous </em>variables assign values in a range of infinitely many values, while <em>discrete</em> variables are countable.
<em>Continuous variables</em> in the above can assume real numbers and there are infinitely many real numbers between any two real numbers.
<em>Discrete variables </em>above can be counted in the given time interval.
<span>x in (-oo:+oo)</span><span>
(1/3)*((6/5)*x-3) = 0</span><span>
1/3*(6/5*x-3) = 0</span><span>
( 1/3 )</span><span>
1/3 = 0</span><span>
x belongs to the empty set</span><span>
( 6/5*x-3 )</span><span>
6/5*x-3 = 0 // + 3</span><span>
6/5*x = 3 // : 6/5</span><span>
x = 3/6/5</span><span>
x = 5/2</span><span>
x = 5/2</span>
