julienbencaz julienbencaz
  • 03-12-2021
  • Mathematics
contestada

f(x) = 2x + 5 and g(x) = 5x², find (fog)(x)

Respuesta :

jimthompson5910 jimthompson5910
  • 03-12-2021

Answer:  [tex]10x^2+5[/tex]

Work Shown:

[tex]f(x) = 2x+5\\\\f(g(x)) = 2(g(x))+5\\\\f(g(x)) = 2(5x^2)+5\\\\f(g(x)) = 10x^2+5\\\\(f \circ g)(x) = 10x^2+5\\\\[/tex]

Notice how I started with the outer function f(x). Then I replaced every x with g(x), followed by plugging in g(x) = 5x^2.

Answer Link

Otras preguntas

What is 9 3/8 as a decimal?
What happened during the Boston Massacre? A. Native Americans killed six colonists in Rhode Island. B. Colonial militia killed twenty British soldiers in Pen
Would you rather believe in Greek gods or Roman gods? Why?
The 347 students who listed soccer as their favorite sport were 13 less than three times the number of students who listed basketball as their favorite sport
Preventative medicines that contain antibodies are called a. vaccines b. antitoxins c. pathogens d. antibiotics
predict the miles traveled in 5 hours at a rate of 189 in 3 hours
Simplify the following expression. 1/4 (24-16x) a. 6+4x b. 6+4 c. 6-4x d. 6-4
Which ocean has average depth of about 12,000 feet,to the nearest thousands?
popular sovereignty refers to rule by?A) The elite. B) Populists C) Sovereigns D) The people
why did the roaring twenties get its name