Answer:
Option 3 - f(x)= 4x,
Step-by-step explanation:
To find : Which two functions are inverses of each other?
Solution :
Two functions are inverse if
Now, we find one by one
1) f(x)= x, g(x) = -x
Not true.
2) f(x)= 2x,
Not true.
3) f(x)= 4x,
i.e. is true.
So, These two functions are inverse of each other.
4) f(x)= -8x,
Not true.
Therefore, Option 3 is correct.
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
<h3>What is a combination?</h3>It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
2 red envelopes
2 blue envelopes
2 green envelopes
3 yellow envelopes.
Total number of envelopes = 9
The probability that all three randomly selected envelopes are yellow without replacement.
=
= (3/9) x (2/8) x (1/7)
= (3x2x1)/(9x8x7)
= 1/84
Thus,
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
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