Answer:
x g(x)
-4 -22
-1 -7
0 -2
5 23
8 38
Explanation:
To find the value of g(x) when x is -4, we need to replace x by -4 in g(x) as:
[tex]\begin{gathered} g(x)=5x-2 \\ g(-4)=5\cdot(-4)-2 \\ g(-4)=-20-2 \\ g(-4)=-22 \end{gathered}[/tex]
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:
[tex]\begin{gathered} -7=5x-2 \\ -7+2=5x \\ -5=5x \\ -\frac{5}{5}=x \\ -1=x \end{gathered}[/tex]
Now, we can find the other blanks as:
[tex]\begin{gathered} g(0)=5\cdot0-2 \\ g(0)=0-2 \\ g(0)=-2 \end{gathered}[/tex][tex]\begin{gathered} 23=5x-2 \\ 23+2=5x \\ 25=5x \\ \frac{25}{5}=x \\ 5=x \end{gathered}[/tex][tex]\begin{gathered} 38=5x-2 \\ 38+2=5x \\ 40=5x \\ \frac{40}{5}=x \\ 8=x \end{gathered}[/tex]
Therefore, the complete table is:
x g(x)
-4 -22
-1 -7
0 -2
5 23
8 38
