Questions: Determine the horizontal asymptote of the graph of the function. f(x) = (3x^2 + 2) / (5x^2 - 3)

Determine the horizontal asymptote of the graph of the function. f(x) = (3x^2 + 2) / (5x^2 - 3)
Transcript text: Determine the horizontal asymptote of the graph of the function. \[ f(x)=\frac{3 x^{2}+2}{5 x^{2}-3} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Compare the degrees of the numerator and denominator

Since the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is at \(y = \frac{3}{5}\) = 0.6.

Final Answer: The horizontal asymptote of the given function is \(y = 0.6\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Factor the following polynomial. First use a common factor with a positive coefficient, and then use a common factor with a negative coefficient. 2y^3 + 8y^4 + 6y^3
failedAnswered
A chemist carefully measures the amount of heat needed to raise the temperature of a 868.0 mg sample of C9H10O2 from 43.4 °C to 58.8 °C. The experiment shows that 22.9 J of heat are needed. What can the chemist report for the molar heat capacity of C9H10O2? Be sure your answer has the correct number of significant digits. J · mol^-1 · K^-1
failedAnswered
Evaluate. -x^2-9x for x=-7
failedAnswered
An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from the south imparts a constant acceleration of 0.500 m / s^2. If the wind's acceleration lasts for 2.10 s, find the magnitude r and direction θ (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally traveling in the +x direction and that there are 1609 m in 1 mi. r= m θ=
failedAnswered
CHALLENGE 4.4: Drafting an Ar https://app.sophia.org/spcc/english-compo than we pay for cigarettes and cigars every year. Which type of rhetorical appeal is Kennedy using in this passage, and how do you know? a.) Kennedy is using logos because he is using logic to rationalize the cost of the space program. b.) Kennedy is using ethos because he is demonstrating his credibility as President of the United States. c.) Kennedy is using pathos to appeal to the emotions of his audience by impressing them with the cost of the space program. d.) Kennedy is using all three rhetorical appeals at once because he is addressing the audience as "we." SUBMIT MY ANSWER Report an issue with this question