Part A Consider functions m and n: n(x)=1/4x^2-2x+4
The value of m(n(2)) is __
The value of n(m(1)) is __

Part B
Consider the functions m and n
n(x)=1/4x^2-2x+4
What is the value of n(m(4))
A. -4
B. -2
C. 0
D. 4

Part C
Given your answers to Katy’s A and B, do you think functions m and n are inverse functions? Explain your reasoning.

Part A

The value of m(n(2)) is 2.

The value of n(m(1)) is 1.

Part B

The value of n(m(4)) is 0.

Part C

To be inverse functions, the values of n(m(x)) and m(n(x)) must equal x for all values of x in the domain. In part A, there were two cases where the value of the composite function was equal to x. In part B, however, there was a case where n(m(x)) was not equal to x. Therefore, the two functions cannot be inverse functions.

Step-by-step explanation:

PLATO

13.33%

say 50 oranges, then 100 apples

80 are red, 20 are yellow

total fruit = 150

20chances out of 150 for yellow

20/150 = 13.33%

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88