Answer:
For x = -5: -16
For x = 9: √5
Step-by-step explanation:
The function is given by
f(x) = √(x - 4) when x ≥ 4 and
f(x) = 2x - 6 when x < 4
Since -5 is lower than 4, we need to use f(x) = 2x - 6 to evaluate f(x) for x = -5. So, replacing x by -5, we get:
f(x) = 2x - 6
f(-5) = 2(-5) - 6
f(-5) = -10 - 6
f(-5) = -16
On the other hand, 9 is greater than 4, so we will use the function f(x) = √(x - 4). Then, replacing x = 9, we get
f(x) = √(x - 4)
f(9) = √(9 - 4)
f(9) = √5
Therefore, the answers are
For x = -5: -16
For x = 9: √5