Question

What is the domain of f(x) = 3x – 2?

Answer 1

Answer:

{x | x is a real number}

Step-by-step explanation:

Given function is $f\left(x\right)=3x-2$

Now we need to find out what is the domain of the given function $f\left(x\right)=3x-2$ 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 $f\left(x\right)=3x-2$ 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}

Answer 2

Answer: las option.

Step-by-step explanation:

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

$y=mx+b$

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

Then function given in the problem has the form:

$f(x)=3x-2$

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}