An equation is formed of two equal expressions. The correct option is C, f(–3) = g(–3).
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of g(x) or the red line is given by the equation y=-x-7, while the equation of f(x) is y=2x+2. Therefore, the point at which both the line intersect is the solution of the system of equations.
Giving the input of the solution in the two functions, we will get,
g(-3) = f(-3)
-(-3) - 7 = 2(-3) + 2
3-7 = -6 + 2
-4 = -4
Hence, the correct option is C, f(–3) = g(–3).
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The statement that is true about the equation formed of two equal expressions as regards the graphs is; Option C; f(–3) = g(–3).
An equation is said to be formed when two equal expressions are equated together using the equal to sign.
From the given coordinates, we can say that the equation of g(x) which is a straight red line is given by the equation;
y = -x - 7
Similarly, the equation of f(x) is given by;
y = 2x + 2.
Thus, we can say that the point at which both the line intersect is the solution of the system of equations.
From the given coordinates input of the solution in the two functions, we can derive the following; g(-3) = f(-3)
Thus;
g(-3) = -(-3) - 7
g(-3) = -4
f(-3) = 2(-3) + 2
f(-3) = -6 + 2
f(-3) = -4
Thus, we can say that f(–3) = g(–3).
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