Answer:
(g o f)(x) =
(not simplified)
Step-by-step explanation:
(g o f)(x) = g(f(x))
g(x) =
f(x) = 
g(f(-5)) = g(
=
= 
g(-170) =
= 
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
You could rewrite

as

and be tempted to cancel out the factors of

. But this cancellation is only valid when

.
When

, you end up with the indeterminate form

, which is why

is not a zero.
Answer:
its 11 and 31
Step-by-step explanation:
got it right on test
The average rate of a function f(x) over an interval x = a and x = b is given by:

Given the function

The average rate of change from x = 1 to x = 2 is given by: