Final answer:
For the function f(x) where f(-2)=15 and f(15)=-6, the inverse function f⁻¹(-6) equals 15.
Step-by-step explanation:
If you know that f(-2)=15 and f(15)=-6, then f⁻¹(-6) is asking for the input value that would give you an output of -6 in the original function f(x).Once you have the equation of the line, set f(x) = -6 and solve for x to find the value of x at which f(x) = -6. Since f(15)=-6, that means to find f⁻¹(-6), you look for the value that was originally plugged into the function to get -6 as the result. In this case, it is 15.