Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
The value of k to the nearest integer is 21
- Let the number of international tourist arrivals in Russia in 2011 be k
If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:
k = 24.7 - (13% of 24.7)
k = 24.7 - (0.135 * 24.7)
k = 24.7 - 3.3345
k = 21.3655
Hence the value of k to the nearest integer is 21
Learn more on decrement here: brainly.com/question/24304697
Answer:
A) 4
-4
-16
+16x
B)4
-4
-16
+16x
Step-by-step explanation:
look at picture
Firstly , we must find the gradient.
gradient, m = y2 - y1 / x2 - x1
m = 7 - (-1) / 4 - 3
m = 8
a straight line is y=mx+c
thus, we have to find the c which is y-int by subs one of the coordinate to the equation.
y=mx + c
7=8(4) + c
c = -25
thus the equation is y = 8x - 25