The graphs of f(x) and g(x) are shown below:

pic

what are the solutions to the equation f(x) = g(x)?

x = −3, 4

x = −3.8, −0.4

x = −3.8, 3

x = 6.5, −6

-3.8, 3

Step-by-step explanation:

The solution to a system is where the graph cross each other.  If you look to where they intersect to the left of the origin, where x is negative, it appears that they intersect ALMOST at -4, but not quite.  So -3.8 is going to have to do since we don't have the equations of either graph to find the exact values of x.  To the right of the origin, where x is positive, the graphs cross where x = 3..

  x = −3.8, 3

Step-by-step explanation:

The solutions to f(x) = g(x) are the x-coordinates of the points of intersection of their graphs. Those x-values appear to be about -3.8 and +3.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.