The value of the function at x = 6 will be 2/3.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
P(x) is the function in which P(1) = 1, P(2) = 2, P(3) = 3, and P(x + 1) = [P(x - 1) + 1] / P(x).
At x = 3, the value of the function will be
P(3 + 1) = [P(3 - 1) + 1] / P(3)
P(4) = [P(2) + 1] / P(3)
P(4) = [2 + 1] / 3
P(4) = 3/3
P(4) = 1
At x = 4, the value of the function will be
P(4 + 1) = [P(4 - 1) + 1] / P(4)
P(5) = [P(3) + 1] / P(4)
P(5) = [3 + 1] / 1
P(5) = 3
At x = 5, the value of the function will be
P(5 + 1) = [P(5 - 1) + 1] / P(5)
P(6) = [P(4) + 1] / P(5)
P(6) = [1 + 1] / 3
P(6) = 2 / 3
P(6) = 1
Thus, the value of the function at x = 6 will be 2/3.
More about the function link is given below.
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