kaetlinpearl
kaetlinpearl kaetlinpearl
  • 23-04-2020
  • Mathematics
contestada

Find an equation for the inverse of the following relation.

y=2/3 x+5

Please please help

Respuesta :

jimrgrant1 jimrgrant1
  • 23-04-2020

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{3x-15}{2}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{2}{3}[/tex] x + 5

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

[tex]\frac{3y-15}{2}[/tex] = x

Replace x by [tex]f^{-1}[/tex] (x) and y by x, thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{3x-15}{2}[/tex]

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