Answer:
8 is the only one that will work
Step-by-step explanation:
(f o g)(x)=f(g(x)).
So this means the x will first be plug into g.
So let's check your choices.
g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).
g(8)=1/(8-6)=1/2 so this is a number so 8 is in the domain of g,
Let's check if 1/2 is in the domain of f.
f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).
g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,
f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).
g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.
f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).
No because if you split it in half the halves don’t match
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
21 its 21 because it is 21
Answer:
Step-by-step explanation:
1) This Stem and Leaf plot works like a Histogram. Completing the question, check below the Stem plot. Look the data out of the Stem plot and within (in the graph below)
32, 34
, 38
, 39
, 39
, 40
, 43
, 45
, 46
, 49
, 53
, 54
, 57
, 58
, 59
, 59
, 63
, 68
2) Notice how the first digit is on the Stem column (check below)
3) To find the first and Third Quartiles
Let's use the formulas to find the position, then the value. As it follows:
