Answer:
Marty's with a slope of 1/3
Step-by-step explanation:
edge2021
6y > 8 - 5
6y > 3
y > 3/6
y > 1/2
Step-by-step explanation:
(A) To find inverse of f(x) = y = 1 / x - 3 :
<u>Transform in terms of x</u>
y = 1 / x - 3
x - 3 = 1 / y
x = 3 + 1 / y
<u>Exchange x with y</u> :
![{f}^{ - 1} (x) = 3 + \frac{1}{x}](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%203%20%2B%20%20%5Cfrac%7B1%7D%7Bx%7D%20)
Therefore, g(x) is not inverse of f(x) and vice versa.
(B)
Domain of f(x) = R - {3}
Domain of g(x) = R - {0}
Answer:
1.25
Step-by-step explanation:
![\dfrac{1.4\cdot10^5}{3.5\cdot10^3}=\dfrac{1.4}{3.5}\cdot10^{5-3}=0.4\cdot10^2=0.4\cdot100=40](https://tex.z-dn.net/?f=%5Cdfrac%7B1.4%5Ccdot10%5E5%7D%7B3.5%5Ccdot10%5E3%7D%3D%5Cdfrac%7B1.4%7D%7B3.5%7D%5Ccdot10%5E%7B5-3%7D%3D0.4%5Ccdot10%5E2%3D0.4%5Ccdot100%3D40)
The diameter of Jupiter is about 40 times the diameter of Earth's moon.