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:
7.4 miles per hour
Step-by-step explanation:
To find her speed in miles per hour, divide the amount of miles she ran by the number of hours:
5.55/0.75
= 7.4
So, her speed is 7.4 miles per hour
Hi there!
This should be easy do write out on a calculator...
But your answer is 168.
16 goes into 1688 about 168 times. :P
Hope this helps! PM me if you need further explanation.
Answer:
122251.11
Step-by-step explanation:
Line it up and subtract:
122,302.61
- 51.50
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