Answer:
-1/2
Explanation:
To find f(f^-1(-1/2)), we need to first find the inverse of f, which is denoted as f^-1. The inverse of a function f is another function that undoes the effect of f. In other words, if y = f(x), then x = f^-1(y).
The inverse of f is given by:
f^-1(y) = (y - 5) / 2
Now we can substitute -1/2 for y in this expression to find f^-1(-1/2):
f^-1(-1/2) = (-1/2 - 5) / 2
f^-1(-1/2) = (-11/2) / 2
f^-1(-1/2) = -11/4
Now that we have found f^-1(-1/2), we can substitute this value into the original function f to find f(f^-1(-1/2)):
f(f^-1(-1/2)) = f(-11/4)
f(f^-1(-1/2)) = 2(-11/4) + 5
f(f^-1(-1/2)) = -11/2 + 5
f(f^-1(-1/2)) = -1/2
Therefore, f(f^-1(-1/2)) = -1/2