Final answer:
To find the value of x given f(x)=4 for the function f(x)=-x-5, you solve the equation 4=-x-5, which simplifies to x=-9.
Step-by-step explanation:
To olve for x when f(x)=4 given the function f(x) = -x - 5, set the function equal to 4:
4 = -x - 5
Then, add 5 to both sides of the equation to isolate the term containing x:
4 + 5 = -xs
9 = -x
Finally, multiply both sides by -1 to get the value of x:
-9 = x
The correct answer is x = -9, which corresponds to option c.