We are given two functions.
[tex]f(x)=x-4\\g(x)=-x-2[/tex]
The point that represents the equation [tex]f(x)=g(x)[/tex], will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for [tex]x[/tex].
[tex]f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1[/tex]
Now that we are given the x value, we can plug this value back into either equation and solve for the y value.
[tex]f(1)=1-4\\f(1)=-3[/tex]
The point of intersection will be [tex](1,-3)[/tex].
Hope this helps!
