Question
21. Given \( h(x)=-x-14 \), if \( h(x)=-2 \), find \( x \).
Ask by Clark Schwartz. in Guam
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=-12 \)
Solution
Solve the equation \( -x-14=-2 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(-x-14=-2\)
- step1: Move the constant to the right side:
\(-x=-2+14\)
- step2: Add the numbers:
\(-x=12\)
- step3: Change the signs:
\(x=-12\)
The solution to the equation \( -x-14=-2 \) is \( x=-12 \).
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Simplify this solution Extra Insights
To solve for \( x \) when \( h(x) = -2 \), you start from the equation given for the function: \[ h(x) = -x - 14 \] Now, substitute \( -2 \) for \( h(x) \): \[ -2 = -x - 14 \] Next, add \( 14 \) to both sides: \[ -2 + 14 = -x \] \[ 12 = -x \] Now, multiply both sides by -1 to solve for \( x \): \[ x = -12 \] So, the answer is \( x = -12 \).
