Question

Let the function f be defined by f(x)= 3x³ 2x²/x²-x.

A) Rational function
B) Polynomial function
C) Trigonometric function
D) Exponential function

Answer 1

The given function f(x) = (3x³ + 2x²)/(x² - x) is a rational function.

Step-by-step explanation:

The given function is

f(x) = (3x³ + 2x²)/(x² - x)

This function is a rational function.

A rational function is a function that can be expressed as the quotient of two polynomial functions.

Since the function f(x) is expressed as the ratio of two polynomial functions, it is a rational function.