The equation y = (x + A)/(Bx + C) , where A,B, and C are integers, is shown below. What is A + B + C?
It appears that the horizontal asymptote is y =1
So the ratio of coefficients on x in the numerator / denominator = 1
So 1/B =!
So B = 1
And the vertical asymptote looks to be x = -1
B(-1) + C = 0
1 (-1) + C = 0
And since the x intercept = 0 then
3 + A = 0
A = -3
So A + B + C = -3 + 1 + 1 = -1
Here's a graph : https://www.desmos.com/calculator/3ztos6whf4