andycruz06 andycruz06
  • 02-12-2019
  • Mathematics
contestada

use the functions f(x)=2x and g(x)=x^2+1 to find the value of each expression

1. f(g(3))
2. f(3)+g(4)
3. f(5)-2×g(1)​

Respuesta :

joaobezerra joaobezerra
  • 12-03-2020

Answer:

1.  20

2. 23

3. 6

Step-by-step explanation:

We have that:

f(x) = 2x

g(x) = x² + 1

f(g(x)) is the composite function of f and g. So

f(g(x)) = f(x²-1) = 2(x²+1) = 2x² + 2

1. f(g(3))

f(g(x)) = 2x² - 2 = 2(3)² + 2 = 18 + 2 = 20

2. f(3)+g(4)

f(3) = 2(3) = 6

g(4) = 4² + 1 = 17

f(3) + g(4) = 6 + 17 = 23

3. f(5) - 2g(1)​

f(5) = 2(5) = 10

g(1) = (1)² + 1 = 2

f(5) - 2g(1) = 10 - 2*2 = 10 - 4 = 6

Answer Link

Otras preguntas

A ball is thrown horizontally from the top of a 66 m building and lands 90 m from the base of the building. Ignore air resistance a) How long is the ball in the
Solve the inequality -d/15 -9<1
Is the bond C=O polar or non polar
WILL GIVE BRANLYEST(IF CORRECT) Which sentence in this paragraph states a claim? (1) Some say that their dogs are mighty defenders and their closest friends. (2
Please help this is urgent please pelase
How many votes would Congress need to pass a new law?
answer these 4 questions
Which best describe the structure of DNA?
Brenda sells necklaces at the 23rd Street Flea market. It costs her $10.00 in materials to make the necklaces. She decides to mark-up the price of her ned by 75
Which change that occurs during puberty is social?