Derieri

A rational function has the form f(x)=ax^2 / x^n -5 where a is a non-zero real number and n is a positive integer. a) Are there any values of a and n for which the function above will have no vertical asymptotes. Explain why by providing examples and show...

Given the functions 𝑓(𝑥) = 𝑙𝑜𝑔_3 (3𝑥) and 𝑔(𝑥) = 𝑙𝑜𝑔_3 (𝑥) + 1 a. Describe the transformations applied to each function. b. How do the graphs of the two functions compare? Explain your answer by referring to logarithmic laws and properties.

Given that 2𝑥 – 1is a factor of 𝑥^3 -3x^2 + bx - b which theorem is used to determine the value of b algebraically. Then, list the possible values of the rational zeros of the function.

np, thank you so much