Given the image of inverse scale function y = K / X and the image of y = KX + B intersect at point (2,1), find 1. The analytic expressions of two functions 2. Another intersection of two function images

(1) Substituting the point (2,1) into the analytic expression of the function,
1 = K / 2, so k = 2,
1 = 2K + B, so B = - 3,
To sum up, y = 2 / x, y = 2k-3
(2) 2 / x = 2x-3, the solution is x = - 1 / 2
So the other point is (- 1 / 2, - 4)

The graph of a function of degree is known to pass through points (1,5) and (1,4,1) 1; the analytic expression 2 of the function is obtained; the coordinates of the intersection of the graph of function and y-axis are obtained

(1) Let the analytic formula of the first-order function be y = KX + B (K ≠ 0). By substituting the points (1,5) and (1,4,1) into the analytic formula, we can get 5 = K + B-1 = - 4K + B. we can get k = 6 / 5, B = 19 / 5 by solving the binary first-order equations, so the analytic formula of the first-order function is y = 6x / 5 + 19 / 5 (2) y = 6x / 5 + 19 / 5

Given that the image of a function passes through the intersection of the line y = - x + 3 and the X axis, and the ordinate of the intersection of the line and the Y axis is - 2, the analytic expression of the function is?
I hope it can be solved in an hour or two,

Passing through the intersection of the straight line y = - x + 3 and the x-axis is to let y = 0. It is obtained that the ordinate of the intersection of the image passing (3.0) and the y-axis is - 2, which indicates that the image passing (0. - 2) can be obtained by the above two conditions

It is known that the abscissa of the intersection point between the image with positive scale function y = ax and the image with inverse scale function y = (4-A) / X is 1, then the coordinates of the intersection point are a (), B (). When x______ The value of positive proportional function is larger than that of inverse proportional function

If the abscissa of an intersection is 1, then a = 4-A, find out a = 2, and the intersection coordinate is (1,2)
The functions are y = 2x, y = 2 / X
If 2x = 2 / x, we can find another intersection (- 1, - 2)
The positive scale function value is greater than the inverse scale function value, which can be seen from the image, x > 2 or - 2

If we know that one point of intersection of inverse scale function and linear function is (- 2,5), then the other point coordinate is -
I just want to ask this, I have to forget the concept, what other situations, such as the intersection is (a, b), when another intersection is (B, a) (- A, - b), thank you!

Linear function and inverse proportional function
They will only cross the same direction line or the one three two four direction line
The focus is the public solution
So K is the same
Let y = x / K
Bring in (- 2,5)
We know that K is equal to - 10
And K = XY
So XY is always - 10
The other focus is (2, - 5) or (5, - 2)

Given the image of inverse scale function y = K / X and the image of y = KX + B intersect at point (2,1), find 1. The analytic expressions of two functions 2. Another intersection of two function images