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

User Sekhemty
by
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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

User Blueberryfields
by
4.5k 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

User Oshrat
by
4.5k points