Question

Given the graphs of f(x) = x – 4 and g(x) = –2x – 7, what is the solution to the equation f(x) = g(x)?

Answer 1

Answer:

C) -1

Step-by-step explanation:

we have the following functions:

$f(x)=x-4$

and

$g(x)=-2x-7$

to find the solution of  $f(x) = g(x)$

what you need to do is to match the two functions:

$f(x) = g(x)\\x-4=-2x-7$

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

$x+2x=-7+4$:

and we add the quantities on both sides:

$3x=-3$

dividing by 3:

$x=-3/3\\\\x=-1$

the solution to the equation is

C) -1