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

this is a simple trig problem please provide an explanation ty
5 children have £23.09 three have between £5 and £6. 2 have between £3 and £4. How much could they each have.
If you set up an experiment with two different independent variables, then the results would be_____.
Sentado en su sillón de terciopelo verde, volvió al libro en la tranquilidad del estudio. Finalmente, ella se fue hacia el norte y él llegó hasta la casa del bo
How many lines make up the sestet of an Italian, or Petrarchan, sonnet? a) 8 b) 14 c) 12 d) 6
How many moles of HI are present at equilibrium when 2.0 moles of H2 is mixed with 1.0 moles of I2 in a 0.50 L container and allowed to react at 448oC. At this
what's the meaning of take​
How do you graph y≤-3/4x-2
Identify an equation in slope-intercept form for thr line parallel to y=5x+2 that passes through (-6, -1).
A lab director asks two students, Lydia and Damien, to each select a bottle of a concentrated weak base. When they reach the cabinets, they find different chem