Question

Complete the table of inputs and outputs for the given function

Answer 1

The Solution:

The given function is

`g(x)=-4x-1`

The given table is found below:

To find A, that is, the value of g(x) when x =7.

we shall substitute 7 for x in g(x) as below:

`\begin{gathered} g(7)=-4(7)-1=-28-1=-29 \\ A=g(7)=-29 \end{gathered}`

To find x when g(x) = 0, we shall substitute 0 for g(x) as below:

`\begin{gathered} 0=-4x-1 \\ 1=-4x \\ -4x=1 \\ \text{Dividing both sides by -4, we get} \\ (-4x)/(-4)=(1)/(-4) \\ \\ x=-(1)/(4) \\ So, \\ B=-(1)/(4) \end{gathered}`

To find g(x) when x = -13, we shall substitute -13 for x as below:

`\begin{gathered} g(-13)=-4(-13)-1=52-1=51 \\ So,\text{ } \\ C=51 \end{gathered}`