Answer:
C) -1
Step-by-step explanation:
we have the following functions:
[tex]f(x)=x-4[/tex]
and
[tex]g(x)=-2x-7[/tex]
to find the solution of [tex]f(x) = g(x)[/tex]
what you need to do is to match the two functions:
[tex]f(x) = g(x)\\x-4=-2x-7[/tex]
and now we solve this equation for x.
we move the -2x to the left as a +2x, and the -4 on to the right as a +4
[tex]x+2x=-7+4[/tex]:
and we add the quantities on both sides:
[tex]3x=-3[/tex]
dividing by 3:
[tex]x=-3/3\\\\x=-1[/tex]
the solution to the equation is
C) -1
