ChoclateWaffle ChoclateWaffle
  • 03-07-2019
  • Mathematics
contestada

25 POINTS PLEASE HELP
Let f(x) = (6x^3 - 7)^3 and g(x) = 6x^3- 7.
Given that f(x) = (hºg)(x), find h(x).
Enter the correct answer

Respuesta :

gmany
gmany gmany
  • 03-07-2019

Answer:

[tex]\large\boxed{h(x)=x^3}[/tex]

Step-by-step explanation:

[tex]f(x)=(6x^3-7)^3\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=6x^3-7\\\\f(x)=(\underbrace{6x^3-7}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3[/tex]

Answer Link

Otras preguntas

Select all that apply. Which of these explains the relationship between logos and fallacies? There is no relationship. Fallacies, which rely on faulty logic, ca
You know that there are 1,609 meters in a mile. The number of feet in a mile is 5,280. Use these equalities to answer the following problems: a. How many centi
Two 4.0kg masses are 1.0m apart on a frictionless table. Each has 1.0μC of charge. Part A What is the magnitude of the electric force on one of the masses? What
Which Byzantine leader restored the use of icons in 843 CE? - Theodora - Justinian - Basil - Leo III
A sample of helium gas is in a sealed, rigid container. What occurs as the temperature of the sample is increased?
What is a problem solving by following steps to draw a conclusion?
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
Another word for acadians
Under the constitution the principle of federalism is the reason that power and responsibility are
Who is W. E. B. Du Bois?