Question

Graph f(x)=2x−1 and g(x)=−x+5 on the same coordinate plane.

What is the solution to the equation f(x)=g(x)f(x)=g(x) ?


plz help

Answer 1

To graph both lines the first thing you should do is assign values of x to each equation and then get "y". Finally you must join the points.
The solution for f (x) = g (x) is
2x-1 = -x + 5
3x = 6
x = 6/3 = 2
To find "y"
f (2) = 2 (2) -1 = 3
or equivalently
g (2) = - 2 + 5 = 3
The solution is then the ordered pair
(x, y) = (2,3).
Graphically this is the point where both lines are cut.
See attached graph.