michelle4743 michelle4743
  • 02-05-2020
  • Mathematics
contestada

19. If f(x) = 6x + 3, find f-1(x).

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2020

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{6}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 6x + 3 ( subtract 3 from both sides )

y - 3 = 6x ( divide both sides by 6 )

[tex]\frac{y-3}{6}[/tex] = x

change y back into terms of x, thus

[tex]f^{-1}[/tex](x) = [tex]\frac{x-3}{6}[/tex]

Answer Link

Otras preguntas

When must all men register for the Selective Service?
We elect a President for how many years?
Under our Constitution, some powers belong to the federal government. What is one power of the federal government?
Under our Constitution, some powers belong to the states. What is one power of the states?
What is one thing Benjamin Franklin is famous for?
Which element has atoms with the strongest attraction for electrons in a chemical bond? (1) chlorine (3) fluorine (2) nitrogen (4) oxygen
Who is the “Father of Our Country”?
The coefficients in a balanced chemical equation represent (l ) the mass ratios of the substances in the reaction (2) the mole ratios of the substances in the r
When must all men register for the Selective Service?
Compared to the physical and chemical properties of the compound NO2 the compound N2O has (1) different physical properties and different chemical properties (2