Answer:

Explanation:
We are given the two functions:

And that:

With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions f and g.
First, find h:

Because (1, -40) and (-1, 24) are points on the graph of h, we have that h(-1) = 40 and h(-1) = 24. In other words:

And:

Solve the system of equations. Adding the two equations together yield:

Solve for either m or n:

Substitute this into one of the two equations above and solve:

Therefore:

Solve for m:

Hence, the values of n and m are either: 2 and 2, respectively; or 1 and 0, respectively.
In conclusion, functions f and g are:
