Give an example of a combination of two functions, f(x) and g(x), that would result in a rational function. be sure to identify the function type for f(x) and g(x), as well as the operation used to combine them. this is combing functions. and you : )

by definition, a rational function is really a function that is a fraction with its numerator and denominator both polynomials. so we just need to follow the definition to make an example.

an example of a combination of functions f and g that would result in a rational function is

the function type for functions f and g are polynomials. the operation used to combine them is division. these two facts are a result of the definition of a rational function.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.