Answer:
x≠-1,1
Step-by-step explanation:
f(g(x)) is a composition where g(x) is is substituted for x in f(x).
Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.
|x|-1=0
|x|=1
x=1,-1
Answer:
Part A
Part B
- B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
Step-by-step explanation:
<u>Given data:</u>
- 299, 281, 285, 269, 280, 269, 286, 287
<h3>Part A</h3>
<u>Find the mean of the data above:</u>
- (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282
<u>Find absolute deviations, an absolute value of the difference of data and the mean:</u>
- 299 - 282 = 17 ⇒ 17
- 281 - 282 = -1 ⇒ 1
- 285 - 282 = 3 ⇒ 3
- 269 - 282 = -13 ⇒ 13
- 280 - 282 = 2 ⇒ 2
- 269 - 282 = -13 ⇒ 13
- 286 - 282 = 4 ⇒ 4
- 287 - 282 = 5 ⇒ 5
<u>Find mean absolute deviation:</u>
- (17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25
Correct choice is C
<h3>Part B</h3>
Less mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
Answer:
(40-y)^3
Step-by-step explanation:
Make the unknown y
(40-y)^3
