Hello from MrBillDoesMath!
Answer: f(g(t)) = t
Discussion:
A function and its inverse "undo" each other. Suppose that
f(t) = t^2 and g(t) = t^ (1/2)
Then
A B C
g(f(t)) = g (t^2) = (t^2) ^ (1/2) = t
A: substitute the definition of f(t), that is t^2, in the equation
B: g(t) takes the square root if its argument
C: The square root of a squared item is the item itself.
Regards, MrB
Answer:
C 7ft/yr
Step-by-step explanation:
The given points are not all on the same line, so the average will vary depending on the interval of interest.
Over the interval [1, 11] years, the average rate of change of height is ...
change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr
__
On the interval [11, 15] years, the average rate of change is ...
(105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr
Even on this interval, the closest answer choice is C.
i would say its independent