Math

QuestionFind the inverse equation of the relation y=3x+2y=3x+2.

Studdy Solution

STEP 1

Assumptions1. The given relation is y=3x+y=3x+ . We are looking for the inverse of this relation

STEP 2

To find the inverse of a function, we switch the roles of xx and yy. This means we replace yy with xx and xx with yy in the equation.
x=y+2x=y+2

STEP 3

Now, we solve this equation for yy. First, we subtract 22 from both sides of the equation.
x2=3yx-2=3y

STEP 4

Finally, we divide both sides of the equation by 33 to isolate yy.
y=x23y=\frac{x-2}{3}So, the inverse of the given relation y=3x+2y=3x+2 is y=x23y=\frac{x-2}{3}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord