It is known that y is the inverse proportional function of X. when x = 3, y = 2, then the functional relation between Y and X is______ .

It is known that y is the inverse proportional function of X. when x = 3, y = 2, then the functional relation between Y and X is______ .


Let the analytic expression of inverse proportion function be y = KX (K ≠ 0), because when x = 3, y = 2, ∧ 2 = K3, we get k = 6, ∧ the analytic expression of inverse proportion function is y = 6x. So the answer is y = 6x



Given that the image of inverse scale function y = KX passes through point (2,3), the relation of this function is______ .


According to the meaning of the question: 3 = K2, the solution is k = 6, then the relation of this function is y = 6x. So the answer is: y = 6x



If the function y = (K-2) x & # 710; K & # 178; - 5 (k is a constant) is an inverse proportional function, then the value of K is ()


Solution
Y = (K-2) x & # 710; K & # 178; - 5 (k is a constant) is an inverse proportional function
∴k²-5=-1
And K-2 ≠ 0
Solution
k=2
k=-2
∵k≠2
∴k=-2



If the function [y = (k-1) / x] + K & # 178; - K is an inverse proportional function
If the function y = [(k-1) / x] + K & # - K is an inverse proportional function, then k = ()


Inverse scale function y = K / X
That is: k-1 ≠ 0 and K ^ 2-k = 0



Y = 3 / X & # 178; and y = x & # 178 / 3, which is the inverse proportion function? Why?


Y = 3 / X & # 178; = is inverse proportional function;
As x increases, y decreases
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Is y = (1 / x) - 3 an inverse scale function?


No, the expression of inverse scale function is y = K / X



It is known that the inverse scale function y = m + 3 of X passes through points a (2-m) and B (n, 2n)
Finding the value of M, n
If there are two points P1 (x1, Y1) and P2 (X2, Y2) on the image, and x1


y=(m+3)/x
m+3=xy
So m + 3 = 2 * (- M)
n*2n=m+3
m+3=2*(-m)
3m=-3
m=-1
n*2n=m+3=2
n²=1
N = 1 or - 1
m=-1
N = 1 or - 1



Given that the image of inverse scale function y = (M + 3) / X passes through points a (2, - M) and B (n, 2n), please find the value of M and n


Because the image passes through point a, substituting into the function can get - M = (M + 3) / 2, simplifying to M = - 1, so y = 2 / x, and because the image passes through point B, substituting into the function can get 2n = 2 / N, n = 1, or n = - 1



It is known that the inverse scale function y = m + 3 / X can find the values of (1) m and N through points a (2, - M) and B (n, 2n),


∵ the inverse proportional function y = m + 3 / X passes through points a (2, - M) and B (n, 2n)
∴m+3=-2m
M + 3 = 2n & # 178; m = - 1, n = ± 1



It is known that the inverse scale function y = 9 / 2x can be used to find the values of M and N through points a (2, - M) and B (n, 2n)
M knows how to ask, that is, how to ask n


Directly substituting the point (n, 2n) into the inverse scale function
There are: 2n = 9 / (2n)
So: 4N ^ 2 = 9
n^2=9/4
N = 3 / 2 or - 3 / 2