tankchamp747 tankchamp747
  • 19-08-2021
  • Mathematics
contestada

Given f(x)=(2x+1)^3. Find f^−1(x). (inverse)

Respuesta :

caylus
caylus caylus
  • 19-08-2021

Answer:

Step-by-step explanation:

[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]

Answer Link

Otras preguntas

A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
please solve the following equation. x-6x=56
which process breaks down sugars to make atp when oxygen is present
Convert 3/11 into a percent?
How do you use implicit differentiation to find x^2+3xy+y^3=10
Why did the slogan Peace Land and Bread appeal to the Russian people?
Convert 3/11 into a percent?
please solve the following equation. x-6x=56
which process breaks down sugars to make atp when oxygen is present
what is the phenotype of a heterozygous person using T for tall and t for short