Question

Which function has an inverse that is also a function?

Can someone please help me with this problem?​

Answer 1

The function that has an inverse that is also a function is
`x = 3\cdot y + (9)/(4 )`.

Explanation:

The only function whose inverse is also a function is the linear function, also named first-order polynomial. The inverse of a linear function is also a linear function. That is:

`y = (1)/(3)\cdot x -(3)/(4)`

`(1)/(3)\cdot x = y + (3)/(4)`

`x = 3\cdot y + (9)/(4 )`

The function that has an inverse that is also a function is
`x = 3\cdot y + (9)/(4 )`.