Answer: The answer is F
Explanation:
To figure out if it is equal, you can use the second equation to check and see what the new function will be when you solve it
Second Equation:
Steps:
1. Substitute y for f(x):

2. Interchange x and y:

3. Swap sides of the equation:

4. Move constant to the right and change sign:

5. Take the root of both sides of equation:
![y-3=\sqrt[3]{x-4}](https://img.qammunity.org/2024/formulas/mathematics/college/ce44rcfe9mfpybhudbqjaudiosaidn4e4s.png)
6. Move constant to right and change sign again:
![y=\sqrt[3]{x-4} +3](https://img.qammunity.org/2024/formulas/mathematics/college/fvhfaf9id3if5d70tefuf433wec3o05479.png)
7. Substitute
for
to get answer:
![f^(-1)(x)=\sqrt[3]{x-4}+3](https://img.qammunity.org/2024/formulas/mathematics/college/5vgaf42ejioo4eanpzx3rgmuv3v965toll.png)
This answer is False because the the numbers in this equation we just checked (-4 and +3) are not the same as the first equation
where the signs are flipped (+4 and -3)