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:
A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. It's possible to simplify this to y = mx + b, where m = ( −A / B) and b is the value of y when x = 0. A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c. Apart from the adding complexity of solving a quadratic equation compared to a linear one, the two equations produce different types of graphs.
Answer:
Probably 16 (whatever unit)
Step-by-step explanation:
You divide both sides by three to get x after rewriting the problem.
Find the lengths of the sides. Determine how long a right triangle side lengths are.
