Question

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

Answer 1

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:

$10=\frac{1}{2}x+8.$

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

$\begin{gathered} 10=\frac{1}{2}x+8, \\ 10-8=\frac{1}{2}x, \\ 2=\frac{1}{2}x, \\ \frac{1}{2}x=2, \\ x=4. \end{gathered}$

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:

$\begin{gathered} -1=4x+11, \\ -1-11=4x, \\ -12=4x, \\ 4x=-12, \\ x=-\frac{12}{4}, \\ x=-3. \end{gathered}$

Answers

• 16) ,x = 4

,

• 18), x = -3