jmupala19 jmupala19
  • 07-02-2021
  • Mathematics
contestada

Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))?

Respuesta :

belgrad belgrad
  • 12-02-2021

Answer:

g(f(x)) =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

Step-by-step explanation:

Explanation:-

Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex]   and f(x) = 2x +5

g(f(x)) = g( 2x +5)

        =  [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]

       =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

g(f(x)) =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

Answer Link

Otras preguntas

Solve the following system of equations: -2x + y = 1 -4x + y = -1 a. (3, 1) b. (-1, 3) c. (-1, -3) d. (1, 3)
Which of the following is a helpful way to overcome an addiction to smoking tobacco?
True or False? Brazil was ruled by a Military dictatorship until 1989.
10 president of united States
The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a^2 + 2. What is X^2Y – Z in simplest form? a. 2a^2 – 5a – 2 b. 3a^3 – 6a^2 – 2
List three services offered by medical offices
The tightening of credit and a sharp decrease in farm prices touched off the Panic of 1819. True False
Help please What is the value of the expression? 40 ÷ [24 – 4 • (2 + 3)]
The key principle to success in business is A. knowing the right people. B. enthusiasm. C. good planning and preparation. D. resignation to taking whatever com
Using the completing-the-square method, rewrite f(x) = x2 − 6x + 2 in vertex form. a. f(x) = (x-3)^2 b. f(x) = (x-3)^2 + 2 c. f(x) = (x-3)^2 - 7 d. f(x) = (x-3)