Question

look at the function f(x)=3x-1/2. which of the following describes the domain and range of the function and it’s inverse

Answer 1

Answer: Function and inverse's domain and range are all real numbers.

Step-by-step explanation

Given

`f(x)=(3x-1)/(2)`

We can rewrite the equation as follows:

`f(x)=(3)/(2)x-(1)/(2)`

Based on this, we can see that it is a linear equation, and thus, its domain and range are all real numbers.

To get the invers e have to flip x with y and viceversa:

`x=(3y-1)/(2)`
`2x=3y-1`
`2x+1=3y`
`y=(2x+1)/(3)`

As this is also a linear function, then its domain and range are also all real numbers.