Answer: The equation of the inverse function would be
[tex]N(a)=\dfrac{n+15}{3}[/tex]
Step-by-step explanation:
Since we have given that
[tex]A(n)=3n-15[/tex]
Let A(n) = y.
So, it becomes,
[tex]y=3n-15\\\\y+15=3n\\\\\dfrac{y+15}{3}=n[/tex]
Now, replace y with n and n with N(a).
[tex]N(a)=\dfrac{n+15}{3}[/tex]
Hence, the equation of the inverse function would be
[tex]N(a)=\dfrac{n+15}{3}[/tex]