Question

What is f(-3) if f(x) = |2x - 1| – 5?
A. 2
B. 12
C. 0
D. -10

Answer 1

To find f(-3) for the function f(x) = |2x - 1| – 5, substitute -3 in place of x and simplify the expression. After evaluating the absolute value and subtracting 5, the result is 2, which matches option A.

Step-by-step explanation:

The student has asked what is f(-3) if f(x) = |2x - 1| – 5. To solve this, we need to substitute -3 for x in the equation and simplify.

Step 1: Substitute -3 into the equation: f(-3) = |2(-3) - 1| – 5

Step 2: Simplify inside the absolute value: |(-6) - 1| – 5 = |-7| – 5

Step 3: Absolute value of -7 is 7: 7 – 5

Step 4: Subtract 5 from 7: 7 – 5 = 2

Therefore, f(-3) is 2, which corresponds to option A.