SOLUTION: https://www.usatestprep.com/modules/gallery/files/147/14777/14777.png Use the graphs of f(x) = 2 x and g(x) = 1 -3-x to determine the solutions to f(x) = g(x). A) (-

Algebra ->  Graphs -> SOLUTION: https://www.usatestprep.com/modules/gallery/files/147/14777/14777.png Use the graphs of f(x) = 2 x and g(x) = 1 -3-x to determine the solutions to f(x) = g(x). A) (-      Log On


   

Question 1080620: https://www.usatestprep.com/modules/gallery/files/147/14777/14777.png
Use the graphs of f(x) =
2
x
and g(x) =
1
-3-x
to determine the solutions to f(x) = g(x).
A) (-2, -1)
B) (-2, 1)
C) (2, 1)
D) (2, -1)
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2/x=1/(-3-x)
cross multiply
-6-2x=x
3x=-6
x=-2
y=-1
(-2,-1)
A.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=2%2Fx and g%28x%29+=1%2F%28-3-x%29 equal if
2%2Fx=1%2F%28-3-x%29
2%28-3-x%29=1%2Ax
-6-2x=x
-6=x%2B2x
-6=3x
x+=+-2
so,if x+=+-2 than
f%28x%29+=2%2F-2=>f%28x%29+=-1 and
g%28x%29+=1%2F%28-3-%28-2%29%29 =>g%28x%29+=1%2F%28-3%2B2%29%29 =>g%28x%29+=1%2F%28-1%29%29 =>g%28x%29+=-1
so, solution is:
x+=+-2
y+=+-1
and intersection point is:
A) (-2,-1)