Question

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

Answer 1

-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:

`\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}`

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