Answer:
Switch x and y, and solve for y
Step-by-step explanation:
Given
Required
Complete the steps to determine the inverse function
Solving (a): Complete the blanks
Switch x and y, and solve for y
Solving (b): Determine the inverse function
![f(x) = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Replace f(x) with y
![y = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Switch x and y
![x = \sqrt[3]{8y} + 4](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204)
<u>Now, we solve for y</u>
Subtract 4 from both sides
![x -4= \sqrt[3]{8y} + 4-4](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204-4)
![x -4= \sqrt[3]{8y}](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D)
Take cube roots of both sides
Divide both sides by 8
So, we have:
Hence, the inverse function is:
There are 4 quarterly inches in 1 inch so 4 x7=28 + 3 quarter in 3/4 so 31 quarter inches in all.
Answer:
i would say C
Step-by-step explanation:
Answer:
y=42-x
x=42-y
Step-by-step explanation:
x=42-y
Subtract y from both sides of the equation
y=42-x
Subtract x from both sides of the equation
Answer:
The answer is A (Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate)
Step-by-step explanation:
Because the proportional relation is defined by k = 
. If ratio is 
then it is a rate. Unit rate means per 1 unit such as 
or 
thus the correct answer is A.
