What is the inverse of the function f(x)=3cube
1 answer:
Answer:
Inverse does not exist.
Step-by-step explanation:
Given is a function
We are asked to find an inverse for this function.
On analysing the function, we find that for all values of x,
y is a constant.
In other words, this is nothing but a constant function which is a horizontal line parallel to x axis.
This is not onto, because range of this funciton is only the value {3^3}
Inverse exists only for one to one and onto funcitons.
Since this function is one to one but not onto, inverse does not exist.
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Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.
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and the number of ways of drawing 3 aces and 2 2s is the same,
so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.
Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is
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Then the probability of getting a full house is