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question given $g(x)=-x - 4$, solve for $x$ when $g(x)=9$.

Question

question given $g(x)=-x - 4$, solve for $x$ when $g(x)=9$.

Explanation:

Step1: Substitute g(x) value

Substitute \(g(x)=9\) into \(g(x)=-x - 4\), getting \(9=-x - 4\).

Step2: Isolate x - term

Add 4 to both sides: \(9 + 4=-x-4 + 4\), so \(13=-x\).

Step3: Solve for x

Multiply both sides by - 1: \(-1\times13=-1\times(-x)\), then \(x=-13\).

Answer:

\(x = - 13\)