asked 198k views
2 votes
What is the domain and range for the following function and its inverse f(x)=3x-1/2

asked
User Sekhemty
by
8.8k points

2 Answers

3 votes

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

answered
User Blueberryfields
by
8.1k points
7 votes

Answer:

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

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

answered
User Oshrat
by
8.2k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.