Answer:
f ○ g(x) = x and g ○ f(x) = x is the correct composition
Step-by-step explanation:
INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),
such that x =
= g(y)
Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:
1. f o g(x) = f(g(x))= x
2. g o f(x) = g(f(x)) = x
If any two functions satisfy these two conditions, then they are inverse of each other.
Answer: 16 minutes and 40 seconds
Step-by-step explanation:
1.) Divide 10 minutes by 3 laps in order to find out how long it takes her to run a single lap. (it ends up being 3 minutes and 20 seconds per lap)
2.) Multiply this number by 5, you get 16 minutes and 40 seconds.
NOTE: remember that you’re using intervals of 60 (seconds in a minute) rather than intervals of 100.
Answer:
A. 4
Step-by-step explanation:
Constant of proportionality (k) = y/x
We can use the coordinates of any point on the line to find k.
Let's use (2, 8)
Constant of proportionality (k) = 8/2
Constant of proportionality (k) = 4
Replacement = 11 total
probability of choosing a consonant = 7/11
without replacing the card
probability of choosing an e = 3/10
probability of choosing both = 7/11 * 3/10 = 21/110 <===
Answer:
Mark got 13 more points than Nick did
Step-by-step explanation:
Mark's score in all was: 487
Nick's score in all was: 474