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given (g(x)=5x + 4), solve for (x) when (g(x)=9).

Question

given (g(x)=5x + 4), solve for (x) when (g(x)=9).

Explanation:

Step1: Substitute g(x) value

Given $g(x)=5x + 4$ and $g(x)=9$, we substitute to get $5x+4 = 9$.

Step2: Isolate the term with x

Subtract 4 from both sides: $5x+4 - 4=9 - 4$, which simplifies to $5x=5$.

Step3: Solve for x

Divide both sides by 5: $\frac{5x}{5}=\frac{5}{5}$, so $x = 1$.

Answer:

$1$