The equation that could represent function g is :
x-intersection: set f(x) to 0 => f(x) = 0 => x = -1;
y-intersection: set x to 0 => f(0) = -1 / 1 = -1;
Calculations and Parameters
Construct a simple function f(x) = (x+1) / (x-1);
Vertical asymptote: setting the denominator to 0 we get
x - 1 = 0 => x = -1
Horizontal asymptote: since the numerator and denominator have the same degree, simply dividing the coefficients of the highest terms, which is 1, implies there's an asymptote at y = 1;
x-intersection: set f(x) to 0 => f(x) = 0 => x = -1;
y-intersection: set x to 0 => f(0) = -1 / 1 = -1;
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