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Given the function below, if f(x)=-1 find the value of xf(x)=4x+11

Given the function below, if f(x)=-1 find the value of xf(x)=4x+11-example-1

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16) From the statement of the problem, we know that:

• f(x) = 10,

,

• f(x) = x/2 + 8.

Using the data above, we have the following equation for x:


10=(1)/(2)x+8.

To find the value of x, we follow the following steps:


\begin{gathered} 10=(1)/(2)x+8, \\ 10-8=(1)/(2)x, \\ 2=(1)/(2)x, \\ (1)/(2)x=2, \\ x=4. \end{gathered}

18) From the statement of the problem, we know that:

• f(x) = -1,

,

• f(x) = 4x + 11.

Using the data above, we have the following equation for x:


-1=4x+11.

To find the value of x, we follow the following steps:


\begin{gathered} -1=4x+11, \\ -1-11=4x, \\ -12=4x, \\ 4x=-12, \\ x=-(12)/(4), \\ x=-3. \end{gathered}

Answers

• 16) ,x = 4

,

• 18), x = -3

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