Question

Determine a função inversa de:
f(x) = 2x + 1/x - 3

com x <> 3.

Detalhe todo o procedimento da resolução.

Answer 1

Olá!

$y=\dfrac{2x+1}{x-3}\\\\y(x-3)=2x+1\\\\yx-3y=2x+1\\\\yx-2x=3y+1\\\\x(y-2)=3y+1\\\\x=\dfrac{3y+1}{y-2}\\\\\\\boxed{\boxed{f^{-1}(x)=\dfrac{3x+1}{x-2}}}$




Bons estudos!