Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?
1 answer:
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For any probability the formula is 
. In this case we have 4 desired outcomes (the odds, 1, 3 and 5, and also 6) out of 6 total sides, so our probability 
.
Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive.
Combine the two parts and C is the correct answer. <span />
Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive.
Combine the two parts and C is the correct answer. <span />
1) Inverse function:
2)
3)
Step-by-step explanation:
1)
In this first method, we want to find the inverse function of .
The original function is:
We rewrite it as
We swap the name of the variables:
Adding +4 on both sides:
And dividing by 3 on both sides:
which is identical to :
2)
In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.
We start using the function
We choose . We find:
Now we use this output value as input in the function
Substituting ,
So, the final output value (1) is equal to the input value (1).
3)
Here we want to verify that the two are inverse functions by showing that
We have
Substituting g(x) into f(x),
Viceversa, we want to show that
Substituting g(x) into f(x), we get
So, the two functions are one the inverse of the other.
Learn more about inverse functions:
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