Answer:
The inverse of g(x) is
The domain of g(x) is (-∞,-2)U(-2,∞)
The domain of f(x) is (-∞,-1)U(-1,1)U(1,∞)
Step-by-step explanation:
Find the inverse of g(x).
Solve for x
Find the domain of g(x)
Numerator and denominator have domain
(-∞,∞).
However, g(x) is undefined if the denominator is 0. Hence, x=-2 must be taken out of the domain. So, the domain of g(x) is
(-∞,-2)U(-2,∞).
Find the domain of f(x)
The numerator and denominator have the domain
(-∞,∞)
However, f(x) is undefined if the denominator is 0. This rules out +1 and -1. So, the domain of f(x) is
(-∞,-1)U(-1,1)U(1,∞)
I am not sure what you mean for (ii).
Answer:
Range: 0.07
Median: 0.15
Mode: 0.15 and 0.16 (This is <u>bimodal</u>. It has 2 modes.)
Step-by-step explanation:
When you have a line and dots, that means that that number is repeated by the number of dots. So, since, 0.11 has 3 dots, when you write out all the numbers, you will write 0.11 3 times. (In the picture attached below, I have put every single number in order so you can see what I mean.)
<u>The Range</u> is the biggest number minus the smallest: 0.18 - 0.11 = <u>0.07</u>
<u>The Median</u> is the <u>m</u>iddle number: 0.15 (Look at picture)
<u>The Mode</u> is the number that occurs <u>m</u>ost <u>o</u>ften: 0.15 & 0.16
Having 2 modes is possible. They both just have to be repeated the same amount of times.
Answer:
the percent of people that end up coming as error is 12%