tankchamp747 tankchamp747

19-08-2021
Mathematics

contestada

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

Respuesta :

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

Which of the following was an achievement of the Chinese empires? A. The invention of concrete B. Hinduism C. The Grand Canal D. Communism

Which of these contributed to the decline of the Roman Empire? (4 points) political corruption and increasing wealth cultural decline and military defeats inter

the quality of applying to or being shared by all people

• If a son has struck his father, they shall cut off his hand. • If a seignior has destroyed the eye of a member of the aristocracy, they shall destroy his

a patient is to take 4 1/4 tablespoons of medication per day in 4 equally divided doses. how much medicine is to be taken in each dose?

During the first Global Age (A.D. 1450–1770), European countries obtained both a source of raw materials and a reliable market for their finished goods by d

Evaluate: sin 90 degrees

Which was not a result of industrialization?

The average of integers a and b is 12. if c = 3, what is the average of integers a, b, and c ?

What is the main conflict occurring in the following passage? As Joe trekked through the African wilderness, he thought about his last days with Kate. Why hadn’