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

help please1. Cyrus the Great was a powerful leader. His subjects rarely rebelled against him. Based on what you know about him, why do you think this was the c
Pls helps fast!! The figure shows two parallel lines AB and DE cut by the transversals AE and BD: Which statement best explains the relationship between Trian
Final questions I'm asking if you've been keeping up. Thanks in advance.
which numerical setup can be used to calculate the atomic mass of gallium
Help! Show all thinking
What’s the number?!!!!!!
Y varies directly with x. If y=5 when x=20, what is the value of y when x-6
How did the mongols adapt to their environment
¿Qué tiempo hace? Briefly describe the typical weather for the following seasons by completing the sentences. Then record yourself saying all 3 completed sente
Solve the problems below. Please answer with completely simplified exact value(s) or expression(s). Given: ΔАВС, m∠ACB = 90 CD ⊥ AB , m∠ACD = 30°,AD = 8 cm