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

A) –7

B) –4

C) –1

D) 4

C) -1

Step-by-step explanation:

we have the following functions:

and

to find the solution of  

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

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

:

and we add the quantities on both sides:

dividing by 3:

the solution to the equation is

C) -1

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