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

The value of 7 in 67908 is blank times the value of 7 in 74702
Basic. Is to luxurious as common is to
What is the range of numbers along the lines of longitude
during the lunch break a deli sold 36 large sodas if the ratio of large sodas sold to small sodas sold was 4 : 1 how many small sodas were sold
Oxygen is denoted as 16O8. How many protons and neutrons does an oxygen atom have?
How to start a sentence off when describing someone?
solve y+4x=12 3y=8-12x
Which word in the sentence is an indirect object?Choose all answers that are correct.Give Ben and his cousins a snack before bedtime.  A.cousins  B.snack  C.Ben
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the lake, the rock's distance from th
A bakery baked 184 loaves of bread in 4 hours. how many miles and 1 hour