The graphical solution to the given equation is the point of intersection of
the two linear function graphs.
The solution to the equation f(x) = g(x) is (1, 3)
Reasons:
The solution to the graph of f(x) = 2·x + 1, and g(x) = -x + 4, is given by the
point that satisfies the equation; f(x) = g(x), which gives;
2·x + 1 = -x + 4
Therefore;
2·x + x = 4 - 1 = 3
3·x = 3
[tex]x = \dfrac{3}{3} = 1[/tex]
x = 1
Which gives; f(1) = 2×1 + 1 = 3 = g(1) = -1 + 4 = 3
The solution is (1, f(1)) = (1, g(1)) = (1, 3)
Graphical Solution:
From the plotted graphs of f(x) and g(x), the solution to the equation the
f(x) = g(x) is the point of intersection of the two graphs, which is the point (1, 3).
The solution to the equation f(x) = g(x) obtained both graphically and by
calculation is (1, 3).
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https://brainly.com/question/14460221
