Given $g(x)=-x+4$, solve for $x$ when $g(x)=0$.
Answer (1)
Set the function equal to zero: − x + 4 = 0 .
Add x to both sides: 4 = x .
The solution is x = 4 .
Therefore, the value of x when g ( x ) = 0 is 4 .
Explanation
Understanding the Problem We are given the function g ( x ) = − x + 4 and we want to find the value of x such that g ( x ) = 0 . In other words, we want to solve the equation − x + 4 = 0 for x .
Solving for x To solve the equation − x + 4 = 0 , we can add x to both sides of the equation. This gives us: − x + 4 + x = 0 + x
4 = x
Final Answer Therefore, the value of x that satisfies g ( x ) = 0 is x = 4 .
Examples
Imagine you're on a treasure hunt, and your map reads: 'Walk -x + 4 steps from the old oak tree to find the hidden gold.' If you know the gold is right at the oak tree (meaning you need to walk 0 steps), this problem helps you figure out how much to adjust your steps (x) to stay put and claim your prize! This simple equation shows how math can guide you in everyday adventures, making problem-solving both fun and practical.
