Given:
To find:
Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.
Solution:
We know that, two function are inverse of each other if:
and 
We have,
Now,
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
Similarly,
Since, and , therefore, f(x) and g(x) are inverse of each other.
Answer:
A
Step-by-step explanation:
Given a sinusoidal function (sine function or cos function) in the form
y = A Cos (Bx), we can say that A is the amplitude.
<em>Amplitude defines the function's maximum and minimum.</em>
The maximum of this form of function is A and the minimum is -A.
The function given is y = -Cos(8x), so A is -1
Thus, maximum value is 1 and minimum value is -1.
Correct answer is A
Area = the top semicircle + the rectangle AEBD
= 1/2 pi*6^2 + 6*12 = 128.55 cm^2 to nearest 100th
Perimeter = 6pi + 12 + 2 pi * 3 = 49.70 cm
3x-6+10x+15=35
10x+3x=35-15+6
13x=26
x=2
