Would there be congruent triangles in the diagram???

Yes triangle EDF is congruent to triangle GDF

Step-by-step explanation:

If line segment DF is a perpendicular bisector, this means 2 things, segments EF and FG are congruent because as the question states, DF is a perpendicular BISECTOR meaning it cut EG into 2 equal halves. the second thing is that if DF is a perpendicular bisector, angle EFD and GFD both measure 90 degrees, and thus are congruent because DF is a PERPENDICULAR bisector, meaning it creates 2 right angles, or 90 degree angles with the line it bisects as the question states. the last factor that makes these 2 triangles congruent is because segment DF is congruent to itself thus the 2 triangles are congruent through the Side Angle Side congruence postulate

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are