Answer:
1.one solution is the answer
Step-by-step explanation:
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
Answer:
idk just google it :)
Step-by-step explanation:
1. google the thing
Answer: An = 36 + 2(n - 1)
Step-by-step explanation:
If the height of the tree grows by 2 inches every year, then the height of the tree is increasing in arithmetic progression. The The formula for determining the nth term of an arithmetic sequence is expressed as
An = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 36 inches
d = 2 inches
Therefore, the explicit rule representing this situation is
An = 36 + 2(n - 1)
Answer:
t
Step-by-step explanation:
t t t
