What is the domain of f(x) = 3x – 2?
{x | x > 0}
{x | x < 0}
{x | x = 0}
{x | x is a real number}

las option.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

Where m is the slope of the line and b is the y-intercept.

Then function given in the problem has the form:

Where:

m=3

b=-2

Therefore, it is a linear function.

By definition, the domain of the  linear functions that are not bounded, is all the Real numbers.

Therefore, the answer is:

{x | x is a real number}

{x | x is a real number}

Step-by-step explanation:

Given function is

Now we need to find out what is the domain of the given function and match with the correct choice from the given choices.

{x | x > 0}

{x | x < 0}

{x | x = 0}

{x | x is a real number}

We can see that is in the form of y=mx+b that means it is an equation of line. and we know that a line can go in both directions withut any break. Hence domain is all real numbers.

So the correct choice is {x | x is a real number}

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.