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Find the inverse of the function f(x)=(5x+2)/(x-3) f^-1(x)=

Find the inverse of the function f(x)=(5x+2)/(x-3) f^-1(x)=

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Find the inverse of the function f(x)=(5x+2)/(x-3) f^-1(x)=

Find the inverse of the function f(x)=(5x+2)/(x-3) f^-1(x)=

Answer

[tex]f
(x) = \frac{5x + 2}{x - 3}[/tex] y = frac 5x + 2 x - 3 y x - 3 = x - 3 frac 5x + 2 x - 3 [tex]y
(x) - y(3) = 5x + 2[/tex] xy - 3y = 5x + 2 xy - 5x = 3y + 2 [tex]x
(y) - x(5) = 3y + 2[/tex] x y - 5 = 3y + 2 frac x y - 5 y - 5 = frac 3y + 2 y - 5 x = frac 3y + 2 y - 5 y = frac 3x + 2 x - 5 [tex]f^{-1}
(x) = \frac{3x + 2}{x - 5}[/tex]

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Virtual Teaching Assistant: John B.
Question Level: Basic
Karma: Free
Upload Date: 5/31/2017

This 16 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 189 views.

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