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

An ant sits on the back of a mouse. The mouse carries the ant across the floor for a distance of 10 meters. Was there work done by the mouse? Explain.
What are some reasons why Immigrats people come to the U.S.?
What do Frederick Douglass' words "America reigns without a rival" mean?
Which of the following categories includes the most distantly related organisms? (A) family (B) species (C) class (D) genus (E) order
how do u divide 16 by 3/5
What do Frederick Douglass' words "America reigns without a rival" mean?
What is the purpose of sensory adaptation
what It Trigonometry ?
Is STM semantically or acoustically encoded??
how do i round 3,176 to the nearest thousand