elizabethrosegallego
elizabethrosegallego elizabethrosegallego
  • 02-11-2020
  • Mathematics
contestada

For f(x)=3x + 1 and g(x)=x^2-6 find (fog)(x).

a. 3x^2-17
b. 4x^2-6x-8
c. 3x^3+x^2-6x-6
d. 3x^3+x^2-18x-6​

Respuesta :

aliciayong025
aliciayong025 aliciayong025
  • 02-11-2020

Answer:

A

Step-by-step explanation:

Observe that (fog)(x) is equivalent to f(g(x)) which is to say intuitively the output of the function g(x) is fed as an input into the function f(x).

So in this case the general output of g(x) is x^2-6 for every input x. Thus fed as an input of f(x) in the form f(x^2-6) becomes 3(x^2-6)+1=3x^2-17.

Answer Link

Otras preguntas

The seven diatomic elements?
Which conversion factor should you use first to calculate the number of grams of co2 produced by the reaction of 50.6 g of ch4 with o2?
What is 438,902 rounded to the nearest ten thousand
if f(x)=x2 and g(x)=-4x-1 for which values of x is f(x)=g(x)?
One number is 66 more than twice the other number. if the sum of the two numbers is 3636​, find the two numbers.
10.The function f(x) is shown below: f(x) = (5)x - 1 The function f(x) is shifted to the right by 13 units. Which of the following best represents the new funct
PLEASE HELP! After researching wind power, would you want a wind farm located near you? Why or why not?
Which excel cell entry will calculate the square root of 165?
4. You make the following measurements of an object: 42 kg and 22 m3. What would the object’s density be? if you show the work I will give u the brainilest
How might the reader's impression of aunt alexandra be different if lee had written the story in third person?