Question:
Solution:
Let the following function:
![f(d)=\sqrt[4]{7d-8}](https://img.qammunity.org/2023/formulas/mathematics/college/5c07cn7iz9bb8v7f6ypez85hi3rvl5j4rq.png)
if we evaluate this function at the point d=1, we get:
![f(1)=\sqrt[4]{7(1)-8\text{ }}\text{ = }\sqrt[4]{7-8\text{ }}\text{ = }\sqrt[4]{-1\text{ }}](https://img.qammunity.org/2023/formulas/mathematics/college/h8v15jub09hcri5jvnoqv13yfqdqkn9rdp.png)
note that there is no number that multiplied 4 times gives you -1. Therefore, the value of this function does not exist.
Then, by problem notation, we get that the correct answer is:
![\emptyset](https://img.qammunity.org/2023/formulas/mathematics/college/s9kwg0w8ptz7ojvfq1xh6xjdigz77i4eat.png)