Question

What is the domain of f(x) = 3x – 2?

x
x
x = 0
x is a real number

Answer 1

x is a real number

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 > 0

x < 0

x = 0

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

Answer 2

Answer: las option.

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