Answer:
[tex]\displaystyle f^{-1}(6) = -5[/tex]
Step-by-step Explanation:
Recall that by the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]
We are given the function f which contains the point (-5,6). In other words:
[tex]\displaystyle f(-5) = 6[/tex]
Then by the definition of inverse functions:
[tex]\displaystyle f^{-1}(6) = -5[/tex]
