Final answer:
To find f(a) + f(b), we substitute the values -4 and 3 into the function f(x) = -6x + 5, giving us f(-4) = 29 and f(3) = -13. Adding these together, the result is 16.
Step-by-step explanation:
To compute f(a)+f(b) for the function f(x)=-6x+5, with the values a=-4 and b=3, we plug these values into the function.
First, let's find f(a):
f(-4) = -6(-4) + 5 = 24 + 5 = 29
Now, let's calculate f(b):
f(3) = -6(3) + 5 = -18 + 5 = -13
Finally, we add f(a) and f(b) together:
f(a) + f(b) = 29 + (-13) = 29 - 13 = 16
Finally, to find f(a) + f(b), we just need to add the two values we calculated: f(a) + f(b) = 29 + (-13) = 16. Therefore, f(a) + f(b) = 16.