134k views
4 votes
Which function has an inverse that is also a function? y = 3 2 - 5 3 y = 322 y= x - y = 322 – 5x + 3

Which function has an inverse that is also a function? y = 3 2 - 5 3 y = 322 y= x-example-1

1 Answer

0 votes

Inverse function:

The only one that has an inverse that is a function is the third option because is a linear function (bijective)

y=1/3x-3/4

First, solve for x:

Add 3/4 to both sides:

y+3/4 = 1/3x-3/4+3/4

y+3/4 = 1/3x

Multiply both sides by 3

(y+3/4) 3 = 1/3x (3)

3y+ 9/4 = x

F^-1(y) = 3y+ 9/4

User Asa Ayers
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories