Final answer:
To find (f+g)(-1), substitute x=-1 into both f(x) and g(x), and add the results together. The answer is 1.
Step-by-step explanation:
To find (f+g)(-1), we need to substitute x=-1 into both f(x) and g(x) and then add the results together.
For f(x), substituting x=-1 gives:
f(-1) = (-1)^2 - 5 = 1 - 5 = -4.
For g(x), substituting x=-1 gives:
g(-1) = 4 - (-1)^3 = 4 - (-1) = 4 + 1 = 5.
Adding the results together, we get:
(f+g)(-1) = -4 + 5 = 1.