Final answer:
To solve g(u) = 3 for the function g(u) = √(u - 3), we square both sides to remove the square root and find u by isolating it, resulting in u = 12.
Step-by-step explanation:
To solve the equation g(u) = 3 for the function g(u) = √(u - 3), we need to find the value of u that makes g(u) equal to 3. Start by setting the function equal to 3:
3 = √(u - 3)
To remove the square root, we square both sides of the equation:
32 = (√(u - 3))2
9 = u - 3
Next, we solve for u by adding 3 to both sides:
u = 9 + 3
u = 12
Therefore, the solution to g(u) = 3 is u = 12.