Respuesta :

mhanifa

Answer:

  • f(g(x)) =   14x³ - 3

Step-by-step explanation:

Given:

  • f(x) = 7x² - 3
  • g(x) = [tex]\sqrt{2x^3}[/tex]

To find f(g(x)), substitute x in f(x) with the value of g(x):

  • f(g(x)) = [tex]7(\sqrt{2x^3})^2 - 3[/tex]  = 7(2x³) - 3 = 14x³ - 3

This represents the amount of money she earns every hour, where x is the number of hours.
  • f(x}=7x²-3
  • g(x)=√2x³

f(g(x))

  • f(√2x³)
  • 7(√2x³)²-3
  • 7(2x³)-3
  • 14x³-3