38
QuizMultiple Choice
Composition of Functions and Modeling — Unit test
Question 38 • GA-GSE Pre-Calculus
Marin writes the functions m(x) = and n(x) = .Which equation must be true for m(x) and n(x) to be inverse functions?
Answer
A
StartStartFraction 3 (StartFraction 3 x Over x + 7 EndFraction) OverOver (StartFraction 3 x Over x + 7 EndFraction) + 7 EndEndFraction = StartStartFraction 7 (StartFraction 7 x Over 3 minus x EndFraction) OverOver 3 minus (StartFraction 7 x Over 3 minus x EndFraction) EndEndFraction = x
B
StartStartFraction 3 (StartFraction 7 x Over 3 minus x EndFraction) OverOver (StartFraction 7 x Over 3 minus x EndFraction) + 7 EndEndFraction = StartStartFraction 7 (StartFraction 3 x Over x + 7 EndFraction) OverOver 3 minus (StartFraction 3 x Over x + 7 EndFraction) EndEndFraction = x
C
StartStartFraction 3 (StartFraction 3 x Over x + 7 EndFraction) OverOver (StartFraction 3 x Over x + 7 EndFraction) + 7 EndEndFraction = StartStartFraction 7 (StartFraction 7 x Over 3 minus x EndFraction) OverOver 3 minus (StartFraction 7 x Over 3 minus x EndFraction) EndEndFraction = 0
D
StartStartFraction 3 (StartFraction 7 x Over 3 minus x EndFraction) OverOver (StartFraction 7 x Over 3 minus x EndFraction) + 7 EndEndFraction = StartStartFraction 7 (StartFraction 3 x Over x + 7 EndFraction) OverOver 3 minus (StartFraction 3 x Over x + 7 EndFraction) EndEndFraction = 0