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

There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9? 3 5
when we look at a leaf, we see the colors of light that are reflected off its surface. how does the relatively low flow of oxygen in green light?
What culture believes health is harmony between man and nature?
A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6
What is the main religion of Latin america
Which is the same as 0.08? A) 80% B) 80/100 C) 8% D) 0.8
How did the depression affect women and children?
The gases in the air attracted to earth by gravity form layers called the ____
What's a good slogan for a dietitian (have dietitian in it) ?
What sorts of signals does the brain use to communicate sensations, thoughts and actions?