Question

The rational function h is given by h(x) = 2x⁵ / (5x³ - 2x² - 13).

a) h(x) = 2x⁵ / (5x³ - 2x² - 13)
b) h(x) = 2x⁵ / (5x³) - 2x² - 13
c) h(x) = 2x⁵ / (5x³ - 2x²) - 13
d) h(x) = 2x⁵ / (5x³) - 2x² / 13

Answer 1

The correct option that corresponds to f(x) in the given question is y = x².The numerator is a fifth-degree polynomial, and the denominator is a cubic polynomial.

Step-by-step explanation:

The correct expression for the rational function ℎ(x) is:

h(x) = 2x5/ 5x3 - 2x2 - 13

So, the correct option is:

a) ℎ(x) = 2x5/ 5x3 - 2x2 - 13

The rational function represents a ratio of two polynomials. The numerator is a fifth-degree polynomial, and the denominator is a cubic polynomial. This expression captures the relationship between x and ℎ(x) in the given function.