Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :
We also know that the probability of S given that H occurs is:
If two events S and H are independent then:
This mean that if two events S and H are independent then:
We know that:
and
This means that S and H events are dependent.
The answer is the option B
Answer:
The given functions are not same because the domain of both functions are different.
Step-by-step explanation:
The given functions are
First find the domain of both functions. Radicand can not be negative.
Domain of f(x):
This is possible if both numerator or denominator are either positive or negative.
Case 1: Both numerator or denominator are positive.
So, the function is defined for x≥1.
Case 2: Both numerator or denominator are negative.
So, the function is defined for x≤-1.
From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).
Domain of g(x):
So, the function is defined for x≥1.
So, domain of g(x) is [1,∞).
Therefore, the given functions are not same because the domain of both functions are different.