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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

Given the graphs of f(x) = x – 4 and g(x) = –2x – 7, what is the solution to the equation-example-1

1 Answer

6 votes

Answer:

C) -1

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

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