Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?
2 answers:
<h2>Answer:</h2>
The total number of solutions to the equation f(x) = g(x) is:
Tow solution (2 solution)
<h2>Step-by-step explanation:</h2>We are given two functions f(x) and g(x).
The solution to the equation:
are the x-values of the point of intersection of the graphs of the two function.
By looking at the graph we observe that the graph of two function intersects at two points (-3,7.5) and (1,0).
Hence, the number of solutions to the equation f(x)=g(x) is: Two solutions.
You might be interested in
Distance formula between 2 points (x1,y1) and (x2,y2)
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51