Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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