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

How do we use the Pythagoras theorem in "everyday life".
what do I do to figure out this problem:3x+8=26+x
what we need to become success
What's the word for wandering about; tending to move around, travel
How did Niccolo Machiavelli’s book The Prince set him apart from other writers of the Renaissance?
example of onomatopoeia in the seven ages of man
Solve the quadratic by factoring 2X²-2X-12=0
explain why the motion of a body which is moving with constant speed in a circular path is said to be accelerated ?
Liz wants to drink 1.5 litres of water each day. She buys the water in packs of 6 bottles. Each bottle contains 0.5 litres of water. How many packs of water do
What was the major purpose of the Truman Doctrine?