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

Last week, the number of type B cabinets produced was 30 more than 1/2 the number of type A cabinets produced. The number of type C cabinets produced was 20 mo
Read the sentence. Two young finches stole birdseed. How many adjectives are in the sentence? two one four three
what layer of the earth is broken into pieces called tectonic plates
Help me to answer questions
Hey guys, mind helping me out on radicals? Here's a problem to solve; √64[tex] m^{2} [/tex][tex] n^{3} [/tex][tex]p^{4} [/tex] Could you explain this from begi
Hi, I need these 3 answers to these question What is the best prediction for what will happen when all of the hydrogens in the Sun has undergone fusion? A.Heliu
which of the following is true about office friendships
How many moles are in 1g of baking soda (NaHCO3)? show work
9) PLEASE HELP WITH QUESTION. MARKING BRAINLIEST + POINTS GIVEN.
12) PLEASE HELP WITH QUESTION, MARKING BRAINLIEST + POINTS GIVEN