Answer: Function and inverse's domain and range are all real numbers.
Explanation
Given
[tex]f(x)=\frac{3x-1}{2}[/tex]
We can rewrite the equation as follows:
[tex]f(x)=\frac{3}{2}x-\frac{1}{2}[/tex]
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:
[tex]x=\frac{3y-1}{2}[/tex][tex]2x=3y-1[/tex][tex]2x+1=3y[/tex][tex]y=\frac{2x+1}{3}[/tex]
As this is also a linear function, then its domain and range are also all real numbers.
