Question

Given the function g(m)= √m-4 , solve g(m)=2. Do not include m= in the answer.

Answer 1

To solve g(m) = 2 for g(m) = √m - 4, square both sides to get m - 4 = 4, and then add 4 to both sides to find that m = 8.

Step-by-step explanation:

To solve the equation g(m) = 2 for the function g(m) = √m - 4, we must find a value for the variable m such that when substituted into the function g(m), the result is 2. The process involves squaring both sides of the equation to eliminate the square root and then solving for m.

Here's the step-by-step solution:

1. Start with the equation g(m) = 2.
2. Since g(m) is defined as √m - 4, substitute this into the equation to get √m - 4 = 2.
3. To remove the square root, square both sides of the equation: (√m - 4)2 = 22.
4. This results in m - 4 = 4, since squaring the square root will cancel it out and 2 squared is 4.
5. Add 4 to both sides to isolate m: m - 4 + 4 = 4 + 4.
6. Thus, we find that m = 8.