40.5k views
0 votes
What is the output for () = −3|2 − 9| + 4 when = −5 ?

1 Answer

1 vote

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.

User Pijar
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories