Answer:
The function that has an inverse that is also a function is [tex]x = 3\cdot y + \frac{9}{4 }[/tex].
Step-by-step 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:
[tex]y = \frac{1}{3}\cdot x -\frac{3}{4}[/tex]
[tex]\frac{1}{3}\cdot x = y + \frac{3}{4}[/tex]
[tex]x = 3\cdot y + \frac{9}{4 }[/tex]
The function that has an inverse that is also a function is [tex]x = 3\cdot y + \frac{9}{4 }[/tex].
