Please help me with this problem so I can help my son to better understand. I have attached an image of the question.The table shows values for functions f(x) and g(x) . xf(x)=−4x−3g(x)=−3x+1+2−3 9 179−2 5 53−1 1 10 −3 −11 −7 −72 −11 −253 −15 −79 What is the solution to f(x)=g(x) ?Select each correct answer. −3−2−10123

Please help me with this problem so I can help my son to better understand I have attached an image of the questionThe table shows values for functions fx and g class=
Please help me with this problem so I can help my son to better understand I have attached an image of the questionThe table shows values for functions fx and g class=

Respuesta :

-1, and 1

1) Examining that table, we can see that evaluating both functions at x=-1, and x=1, we have the same output for f(x) and g(x).

2) So, we can write out the following:

[tex]\begin{gathered} f(x)=-4x-3|g(x)=-3^{x+1}+2 \\ f(-1)=-4(-1)-3=1 \\ g(-1)=-3^{-1+1}+2=1 \\ f(1)=-4(1)-3=-7 \\ g(1)=-3^{1+1}+2=-7 \end{gathered}[/tex]

3) Thus the values of x that makes f(x) and g(x) equivalent are -1, and 1