8
QuizMultiple Choice
Composition of Functions and Modeling
Question 8 • WV-Trigonometry/Pre-calculus A
On a coordinate plane, f (x) curves up through (negative 2, negative 3), has an inflection point at (0, 0), and curves up through (2, 3). G (x) has 2 curves. A curve opens up and to the right in quadrant 1 and approaches the y-axis and x-axis. A curves opens down and to the left in quadrant 3 and approaches the y-axis and x-axis.
Answer
A
They are not necessarily commutative because f(g(1)) = g(f(1)).B
They are not commutative; the composites do not simplify to x.C
They are not commutative because the domains of f(x) and g(x) are different.D
They are not commutative because the graphs intersect each other.