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

Who owns the rights to the little mermaid musical
900 POINTS!!!!! hi guys
If you were writing a recipe for pasta for your sister, how would you tell her to add salt to the water?
Dr. Schmidt is interested in how children interact with their parents during play. She collects data from hundreds of hours of observation of children playing a
Divide. Write the quotient in the lowest terms.
PLSSS HELPPP MEEEE I NEED IT FAST BEFORE 9am PLSS
A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the mone
SOMEBODY PLEASE HELP MEEEEEE ILL MARK BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Change the following into indirect speech:1. "Don't tell a lie," Father said to me.2. He said, "John will write a letter tomorrow.3. The fox said, "How clever /
The two triangles at right are congruent. What is the perimeter of each? A 4 ft 5 ft 5 ft 6 ft​