Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (g (x)) and h (f (x))

Question

01-10-2017
Mathematics

contestada

Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (g (x)) and h (f (x))

Respuesta :

Otras preguntas

Find the missing side and angle measures in triangle ABC. Round your answers to the neFind the missing side and angle measures in triangle ABC. Round your answe

Differentiate between an organic combustion reaction and an inorganic combustion reaction.

The monthly cost of water use is a linear function of the amount of water used (HCF). The cost for using 16 HCF of water is $39.04, and the cost for using 44 HC

Maria is going to purchase cranberry juice and lemon-lime soda for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of lemon-lime soda a

There were 169 tickets for a major league baseball game. The lower box tickets cost $12.50 and the upper box tickets cost $10.00. The total amount of money spen

A population of 50 foxes in a wildlife preserve doubles in size every 14 years. The function y = 50.2*, where x is the number of 14-year periods, models the pop

Crates of masses 1 kg , 4 kg , and 6 kg are placed in a line on a frictionless table. They remain in contact as they are pushed by a 60 N force applied to the 1

What is 4.5 repeating as a fraction?

What is the sum of the matrices shown below? 3 6 0 9 5 -2 + 6 0 -8 4 =

A population of 50 foxes in a wildlife preserve doubles in size every 14 years. The function y = 50.2*, where x is the number of 14-year periods, models the pop

harpazo harpazo · Answer 1 · 2017-10-01T03:03:04+02:00

f(g(x)) means to plug the value of g(x) into every x you see in f(x) and do the math.

g(x) = 3x

f(3x) = 2(3x) - 1

f(3x) = 6x - 1

So, f(g(x)) = 6x - 1.

Understand?

h(f(x)) means to plug the value of f(x) into every x you see in h(x) and do the math.

h(x) = x^2 + 1

h(2x - 1) = (2x - 1)^2 + 1

h(2x - 1) = (2x - 1)(2x - 1) + 1

h(2x - 1) = 4x^2 - 4x + 1 + 1

h(2x - 1) = 4x^2 - 4x + 2

So, h(f(x)) = 4x^2 - 4x + 2

Understand?

This is called COMPOSITION OF FUNCTIONS.