Question

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

a) u = 12
b) u = 10
c) u = 15
d) u = 13

Answer 1

To solve the equation h(u) = 8 for u, where h(u) = √(6u − 11), the square root is eliminated by squaring both sides of the equation, resulting in u = 12.5. This answer does not match any of the provided options, indicating a mistake in the given options or the provided function.

Step-by-step explanation:

The student has asked to solve the equation h(u) = 8 for u, given the function h(u) = √(6u − 11).

Solution:

1. Firstly, square both sides of the equation to eliminate the square root:
   
2. After squaring, the equation simplifies to:
3. The next step is to move the constant 11 to the other side:
   
4. Finally, divide both sides by 6 to solve for u:
   

However, none of the options provided (a) u = 12 (b) u = 10 (c) u = 15 (d) u = 13 match the correct answer, which is u = 12.5. There may be a mistake either in the calculation or the provided options.