Canada1804 Canada1804
  • 11-03-2020
  • Mathematics
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2, Error Analysis Abi said the inverse of
f(x) = 3x + 1 is f-1(x) = 3x - 1. Is she correct?
Explain.

Respuesta :

jimrgrant1 jimrgrant1
  • 11-03-2020

Answer:

No

Step-by-step explanation:

To obtain the inverse function

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

y = 3x + 1 ( subtract 1 from both sides )

y - 1 = 3x ( divide both sides by 3 )

[tex]\frac{y-1}{3}[/tex] = x

Change y back into terms of x, thus

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

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