Final answer:
After substituting -5 into the function f(x)=|x+1|, we find that f(−5) = 4, therefore option a. 4 is the correct answer.
Step-by-step explanation:
To find f(−5) if f(x)=|x+1|, we simply substitute -5 into the function for x:
f(-5) = |(-5) + 1| = |-4| = 4
The absolute value of any number is the non-negative value of that number without regard to its sign. Since the absolute value of -4 is 4, option a. 4 is the correct answer.