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

A map has a scale of 1 cm : 15.5 km. Two cities are 2.3 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to t
The endosymbiotic theory suggests that a prokaryotic cell ate another prokaryote, giving rise to eukaryotes.
I am a number between 50 and 60. one of my factors is 28. what number am I?
20 is what percent of 52? Round your answer to the nearest tenth.
Solve the inequality. y/-6 > 10 . a. y -60 c. y > 4 d. y
The sum of two numbers is 60 and the difference is 2 what are the numbers.
Spinach and cabbage are _____.
What is the rhyme scheme of a Shakespearean sonnet? A. abab cdcd efef gg B. abab bcbc cdcd ee C. abba abba cdc cdc D. abba bcdc ded ded
powdered drink mix dissolved in water. if you let all liquid evaporate out of the pitcher would you be able to see the solid particles of the drink mix?
Which statement accurately describes the relationship between the brain and addiction?