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

True or False if something was turn to make something is it a chemical reaction
how did westward expansion affect native americans?
what were the main functions of a guild? a. to protect the interests of people working in an industry and maintain standards within the industry b. to demand go
What are 2 numbers that have 2, 3, and 5 as factors
385 as a product of prime numbers
on a number line, what is the distance between -17 and 9 ? show your work a -26 b -8 c 8 d 26
. A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for entertainment. What fractional part
how did westward expansion affect native americans?
AC ← → and BC ← → are tangent to circle O at points A and B, respectively. If m∠ADB = 42°, what is m∠ACB ? A84° B90° C95° D96°
Do covalent compounds conduct electricity as: (3 points) 1. Solids? 2. Liquids? 3. Aqueous solutions (when the covalent compounds are dissolved in water)?