Enter your answer and show all the steps that you use to solve this problem in the space provided.

f
(
x
)
=
9
x
3
+
2
x
2

5
x
+
4

and
g
(
x
)
=
5
x
3

7
x
+
4
.
what is
f
(
x
)

g
(
x
)
?
Show all of your steps and write your final answer in factored form.

Respuesta :

Answer:

[tex] 4x^3 + 2x^2 + 2x[/tex]

Step-by-step explanation:

The functions are [tex]f(x) = 9x^3 + 2x^2 -5x + 4[/tex] and [tex]g(x) = 5x^3 - 7x + 4[/tex]. Find the equation when g is subtracted from f and combing like terms. Remember like terms are terms with the same base and exponent.

[tex](9x^3 + 2x^2 -5x + 4) - (5x^3 - 7x + 4)\\f(x) - g(x) = 9x^3 + 2x^2 -5x + 4 -5x^3 + 7x -4\\f(x) - g(x) = 4x^3 + 2x^2 + 2x[/tex]