Answer:
D 6
Step-by-step explanation:
4/1 / 8/12
4/1 * 12/8
48 / 8 = 6
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.
12:(3)(2)(2)
36:(3)(3)(2)(2)
GCF:12
The rate of Car A is x
The rate of Car B is x - 5
They travel the same distance. So we can make an equation:
4(x) = 4.5(x-5)
Solve for x.
4(x) = 4.5(x-5)
4x = 4.5x - 22.5
Subtract 4.5x on both sides
-0.5x = -22.5
Divide by -0.5 on both sides
x = 45
But we want the speed of Car B which is x - 5
So Car B's speed is 45 - 5 = 40
Your answer is 40
$60 because he already bought the game but for other game $48
