What is the domain and range for the following function and its inverse f (x) = 3x-1/2

Domain and range: all reals Inverse | Inverse: y = (x+1/2) / 3

Step-by-step explanation:

it is a linear function which means there are no domain or range restrictions;

the inverse is just the x and the y flipped then you solve for y again

y=3x-1/2

x=3y-1/2

x+1/2=3y

(x+1/2) / 3=y

Domain and range: all reals Inverse | Inverse: y = (x+1/2) / 3

The steps are:

it is a linear function which means there are no domain or range restrictions;

the inverse is just the x and the y flipped then you solve for y again

y=3x-1/2

x=3y-1/2

x+1/2=3y

(x+1/2) / 3=y