Answer:
(f о g)(0) = 24
Step-by-step explanation:
f(x) = -5x - 1
g(x) = x² - 5
When you see (f о g)(#), they want you to plug the function g(x) into the function f(x).
First find g(0).
g(0) = (0)² - 5
g(0) = 0 - 5
g(0) = -5
Now plug g(0) = -5 into f(x) by replacing all x's with -5.
(f о g)(0) = -5(-5) - 1
Multiply.
(f о g)(0) = 25 - 1
Subtract.
[Answer]
[Explanation]
4(x + 6) + 4(x - 5)
[Expand] 4(x + 6): 4x + 24
4x + 24 + 4(x - 5)
[Expand] 4(x - 5): 4x - 20
4x + 24 + 4x + 20
[Simplify] 4x + 24 + 4x - 20: 8x + 4
= 8x + 4
-3
Divide total miles by number of days:
151.2 / 24 = 6.3 miles per day