Problem

Find the horizontal asymptote, if any, of the graph of the rational function \[ f(x)=\frac{-3 x+5}{5 x-4} \] (A) no horizontal asymptote \[ y=- \] B \[ y=- \] (C) \[ \frac{5}{4} \] (D) $y=-3$

Solution

Step 1 :Compare the degrees of the numerator and denominator. In this case, both degrees are equal (both are 1).

Step 2 :Find the ratio of the leading coefficients, which are -3 and 5.

Step 3 :\(\frac{-3}{5} = -0.6\)

Step 4 :\(\boxed{y = -\frac{3}{5}}\) or \(\boxed{y = -0.6}\) is the horizontal asymptote of the given rational function.

From Solvely APP
Source: https://solvelyapp.com/problems/16085/

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