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
Given = b = 20cm, A = 500cm2 l=?
A = l×b,
500= l×20
l= 25
<em>THE LENGTH IS 25 CM</em>
Answer:
21 Feet Long
Step-by-step explanation:
You just reverse how you find a percentage.
1) 40 / 100 = .40
2) .40 * 15 = 6
3) 6 + 15 = 21
I did it this way because I need to find what 40% is to 15. But the trailer isn't 40% of the truck, it's 40% longer than the truck. So, we must add those 2 numbers together getting 21 Ft.
Answer:
43
Step-by-step explanation:
49+88=137
180-137=43
-5/2 is the answer. I just took the test and got it right.
