EliotQuest EliotQuest
  • 13-05-2021
  • Mathematics
contestada

Function Composition:
Let the functions [tex]f(x)= 2x^{2} +1[/tex] and [tex]g(x)= 3x - 1[/tex] , determine:

Function Composition Let the functions texfx 2x2 1tex and texgx 3x 1tex determine class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 13-05-2021

Answer:

Given

  • f(x) = 2x² + 1
  • g(x) = 3x - 1

#1

  • f · g(5) =
  • f(g(5)) =
  • f(3*5 - 1) =
  • f(14) =
  • 2(14²) + 1 =
  • 393

#2

  • g · f(-3) =
  • g(f(-3)) =
  • g(2(-3)² + 1) =
  • g(19) =
  • 3(19) - 1 =
  • 56

#3

  • g · f(x) =
  • g(f(x)) =
  • g( 2x² + 1) =
  • 3(2x² + 1) - 1 =
  • 6x² + 3 - 1 =
  • 6x² + 2

#4

  • f · g(-x) =
  • f(g(-x)) =
  • f(3(-x) - 1) =
  • f(-3x - 1) =
  • 2(-3x - 1)² + 1 =
  • 2(9x² + 6x + 1) + 1 =
  • 18x² + 12x + 2 + 1 =
  • 18x² + 12x + 3

Answer Link

Otras preguntas

y=(x+9)÷(x-3)Find the value of y when x=5​
Solve: -4 < -2x < 10
Find x and y. AB and CD are straight lines.
The study reported, "Girls aged 5-15 in villages that received the recruiting services were 3 to 5 percentage points more likely to be in school and experienced
Represent 1/3 and 5/2 on the same number line.
A smart phone manufacturer is interested in constructing a 99% confidence interval for the proportion of smart phones that break before the warranty expires. 97
On July 1, 2017, Lopez Company paid $3,000 for six months of insurance coverage. No adjustments have been made to the Prepaid Insurance account, and it is now D
8 All legal drugs carry __________.
It's important to note that sometimes private solutions to externalities do not work. For example, this occurs when an excessive amount of time or money must be
the sum of x and y5 times a is addedto bthesum of number x and y is multiplyed by 3​