Question

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

Answer 1

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