Question

Use the function g(x) = 5x – 2 to complete the table.g(x)-4-70233823

Answer 1

x g(x)

-4 -22

-1 -7

0 -2

5 23

8 38

Step-by-step explanation:

To find the value of g(x) when x is -4, we need to replace x by -4 in g(x) as:

`\begin{gathered} g(x)=5x-2 \\ g(-4)=5\cdot(-4)-2 \\ g(-4)=-20-2 \\ g(-4)=-22 \end{gathered}`

Then, to find the value of x when g(x) is -7, we need to replace g(x) by -7 and solve for x as:

`\begin{gathered} -7=5x-2 \\ -7+2=5x \\ -5=5x \\ -(5)/(5)=x \\ -1=x \end{gathered}`

Now, we can find the other blanks as:

`\begin{gathered} g(0)=5\cdot0-2 \\ g(0)=0-2 \\ g(0)=-2 \end{gathered}`
`\begin{gathered} 23=5x-2 \\ 23+2=5x \\ 25=5x \\ (25)/(5)=x \\ 5=x \end{gathered}`
`\begin{gathered} 38=5x-2 \\ 38+2=5x \\ 40=5x \\ (40)/(5)=x \\ 8=x \end{gathered}`

Therefore, the complete table is:

x g(x)

-4 -22

-1 -7

0 -2

5 23

8 38