Given g(x)=frac{5}{2} x-1, if g(x)=-16, find x.

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Step:1 ：Given the function (g(x)=frac{5}{2} x-1), we need to find the value of (x) when (g(x) = -16).Step:2 ：Set the equation (frac{5}{2} x - 1 = -16) and solve for (x).Step:3 ：Add 1 to both sides of the equation to get (frac{5}{2} x = -15).Step:4 ：Multiply both sides of the equation by (frac{2}{5}) to solve for (x).Step:5 ：So, (x = -6).Step:6 ：This means that when (g(x) = -16), (x) is equal to -6.Step:7 ：Final Answer: (boxed{-6})

Answer

Step: 1 ：Given the function (g(x)=frac{5}{2} x-1), we need to find the value of (x) when (g(x) = -16).Step: 2 ：Set the equation (frac{5}{2} x - 1 = -16) and solve for (x).Step: 3 ：Add 1 to both sides of the equation to get (frac{5}{2} x = -15).Step: 4 ：Multiply both sides of the equation by (frac{2}{5}) to solve for (x).Step: 5 ：So, (x = -6).Step: 6 ：This means that when (g(x) = -16), (x) is equal to -6.Step: 7 ：Final Answer: (boxed{-6})

Given $g(x)=\frac{5}{2} x-1$, if $g(x)=-16$, find $x$.

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