Use the rules of transformations to compare the graphs of the functions, f(x) = 1/x and g(x) = 5/x-1. which of the following options represents the asymptotes of the functions, f(x) and g(x)? select all that apply. x = 2 x = -1 y = 0 y = 1 y = -1

The Horizontal asymptote of f(x) and g(x) is y=0. The third option is correct.

Explanation:

it is given that the using the rules of transformations to compare the graphs of the functions,

The graph of f(x) vertically stretch by factor 5 and shifts 1 unit right to transform g(x).

To find vertical asymptotes equate denominator equal to 0.

Therefore the function f(x) has vertical asymptote x=0, and g(x) has vertical asymptote x=1. So their is not common vertical asymptote.

To find horizontal asymptotes put .

Therefore, the function have common horizontal asymptote, i.e., y=0.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743