Answer:
![f^{-1}(x) = \sqrt[3]{x+5}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B5%7D)
Step-by-step explanation:
A function 
is the inverse of f if whenever y =f(x) and 
To find the inverse of f(x) = 
- 5, we use the following steps:
- Step 1 : Put y for f(x) and solve for x
y = - 5
<=> = y + 5
<=> x = ![\sqrt[3]{y+ 5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%2B%205%7D)
- Step 2: Put
for x, we have:
![f^{-1}(y) =\sqrt[3]{y+5}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28y%29%20%3D%5Csqrt%5B3%5D%7By%2B5%7D)
- Step 3: Interchange y =x, we have
Let Calculate 3 points on f(x)
x = 0 => y = -5
x = 1 => y = -4
x = 2 => y = 3
Let Calculate 3 points on (x)
x = -5 => y = 0
x = -4 => y = 1
x = 3 => y = 2
Yes, the inverse is correct because:
- the domain of the inverse function is the range of the original function
- the range of the inverse function is the domain of the original function
I did the equation, however as for my final answer, i got 13/105 but the fraction doesn't match with any of the choices...
Answer:
x=-2
Step-by-step explanation:
The first step is to find the slope
m = (y2-y1)/ (x2-x1)
= (5-0)/(-2--2)
= (5-0) /(-2+2)
= 5/0
The slope is undefined
That means it is a vertical line (up and down) The x value does not change
x=-2
For time-speed-distance problems, you use the relationship
.. speed = distance/time
in any of its various forms.
The distance traveled at A mph is
.. distance = speed * time
.. distance = A*3
The time required for the rest of the journey is
.. time = distance / speed
.. time = (C -3A)/B
The the total time required to travel C miles is the 3 hours for the first part plus the time for the rest of the journey.
.. total journey time = 3 + (C -3A)B . . . . . hours
First, find the volumes of each figure.
Remember that the volume of a sphere =
Smaller sphere:
4188.79 Cubic inches.
Larger sphere:
33510.32 Cubic inches.
33510.32 - 4188.79 = 29321.53 cubic inches
Hope that helps!
