destiny7801 destiny7801
  • 21-09-2021
  • Mathematics
contestada

f(x) = 5x – 3 and g(x) = 5x – 4, find (fog)(x).

Respuesta :

Space
Space Space
  • 21-09-2021

Answer:

(fog)(x) = 25x - 23

Step-by-step explanation:

  • f(x) = 5x - 3
  • g(x) = 5x - 4  

(fog)(x) = f(g(x))  

This is an example of a composite function.

Simply substitute g(x) for x into the function f(x) and simplify.

f(g(x)) = f(5x - 4)  

  • f(5x - 4) = 5(5x - 4) - 3  

Distribute 5 inside the parentheses.

  • f(g(x)) = 25x - 20 - 3

Combine like terms.

  • f(g(x)) = 25x - 23

(fog)(x) = 25x - 23

Answer Link

Otras preguntas

how do you say yes and no in german
Select the statement where the value of the unknown number is 5.5. A number divided by 2 is 5.5. 2 divided by a number is 2.75. A number divided by 2 is 2.75. A
V = 4 3 πr3 A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π) A) 108π in.3 B) 144π in.3 C) 192
How can the equation of dropping and bouncing a ball have a y intercept if the ball cannot be dropped from 0 cm?
The gcf of any two even numbers is always even true or false
After the Civil War, which development limited economic opportunities for African Americans in the South? (1) creation of military districts (2) establishment o
simplify fraction 7 / 27
What ideas arose in ancient Greece that contributed to the development of democratic values in the modern world?
A firm owned by a single person who shares profits and losses with no one else is a __________.
show your work for 12.6 divided by 0.6