energyyyyyyy
energyyyyyyy energyyyyyyy
  • 14-07-2021
  • Mathematics
contestada

If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = [? ]x2 + [ ]+х

Respuesta :

abi87564
abi87564 abi87564
  • 14-07-2021

Answer:

f(g(x)) = 9x^2 +12x -1

Step-by-step explanation:

f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:

(3x+1)^2 + 2(3x+1) - 4

then expand and simplify:

(3x+1)(3x+1) + 6x+2 - 4

9x^2+6x+1 + 6x+2 - 4

and then collect all like terms:

9x^2

6x + 6x = 12x

1 + 2 - 4 = -1

Answer Link

Otras preguntas

I don't understand how to get 50000 ohms, please can someone help? I would have just left my answer at 25,000 ohms!
Reggie has enough flour to last for 40 days. If he increases his use of flour by 25%, however, how many days' worth of flour will he have? A: 30 days B: 28
factor completely w^4-2401
what similarities do democracy and monarchy have? becuase im doing a venn diagram.
factor completely w^4-2401
Write a paragraph about computer
The graph of y = −5x^2 + 9 passes through (1,2a) in the standard (x,y) coordinate plane. What is the value of a ? F. 2 G. 4 H. 7 J. −1 K. −8
Sue purchased a dress that was marked 25% off. She paid $60 for the dress. What was the original price? I know it is $80, but how do you get there.
In a group of 10 students, 7 are 13 years old and 3 are 17 years old. What is the average (arithmetic mean) age of these 10 students?
what is the function of hyperbole in poetry?