Question

Given the function h(u)=6u−11−−−−−−√, solve h(u)=8 for u.?

Answer 1

To solve the function h(u) = √(6u - 11) for h(u) = 8, the student must square both sides of the equation, isolate u, and then divide by the coefficient of u to find that u = 12.5.

Step-by-step explanation:

The student is asking to solve the equation h(u) = 8 for the function h(u) = √(6u - 11). To solve for u, follow these steps:

1. Begin by setting the function equal to 8: √(6u - 11) = 8.
2. Square both sides of the equation to eliminate the square root: (6u - 11) = 64.
3. Add 11 to both sides: 6u = 75.
4. Finally, divide both sides by 6 to solve for u: u = 75 / 6.

This results in u = 12.5. Therefore, when h(u) = 8, the value of u is 12.5.