Iamlolol
Iamlolol Iamlolol
  • 25-01-2021
  • Mathematics
contestada

Find fg(x)
[tex]f(x) = {x}^{2} + 2[/tex]
[tex]g(x) = {x}^{2} + 6x + 11[/tex]
​

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 30-01-2021

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

Answer Link

Otras preguntas

Temperature and kinetic energy have a_______relationship.
Help! Will give 25 points!
You wonder how many cars there are in your area. You call up the Ford dealership and ask how many Fords they’ve sold. They report that they’ve sold a total of 1
Which parent do sons inherit recessive , sex linked traits from ? Mother or father?
i need help on all of these
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the average price fo
Pleas answer number 10
Which is not an example of being aware of one’s communication with others? a. a doctor explaining a diagnosis to a patient in simple terms b. a daughter arguing
Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8
How can a country increase its GDP? A. by producing more goods and services B. by producing fewer goods and services C. by producing fewer goods and servi