Answer:
Explanation:
find the value of ƒ(-3) if the function f(x) is given by:
f(x) = (5 + x) + 2 |2x + 4|
To find ƒ(-3), we need to evaluate the function at x = -3.
First, we simplify the expression inside the absolute value:
2x + 4 = 2(x + 1)
x + 1 = 2
x = -1
So, when x = -3, we have:
f(-3) = (5 + (-1)) + 2 |2(-1) + 4|
f(-3) = 6 + 2 |2(-1) + 4|
f(-3) = 6 + 2 |-3 + 8|
f(-3) = 6 + 10
f(-3) = 16
Therefore, the value of ƒ(-3) is 16.