Final answer:
Substituting x = -5 into the function f(x) = -3|2x - 9| + 4, we follow the order of operations, evaluate the absolute value, multiply by -3, and add 4 to find the output is -53.
Step-by-step explanation:
To determine the output for the given function f(x) = -3|2x - 9| + 4 when x = -5, we first substitute -5 into the function:
f(-5) = -3|2(-5) - 9| + 4
Now simplify inside the absolute value:
f(-5) = -3|(-10) - 9| + 4
f(-5) = -3|-19| + 4
The absolute value of -19 is 19, so:
f(-5) = -3(19) + 4
Multiply by -3:
f(-5) = -57 + 4
Add 4 to complete the calculation:
f(-5) = -53
Therefore, the output for the function when x is -5 is -53.