almugue2004 almugue2004
  • 18-04-2022
  • Mathematics
contestada

Given f(X)= x+3/x^2+2x-3 and g(x)=log4X, evaluate (g-f)(2)

Given fX x3x22x3 and gxlog4X evaluate gf2 class=

Respuesta :

algebraic12 algebraic12
  • 18-04-2022

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

First note that

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

so we have

[tex] log_{4}(2) - \frac{1}{2 - 1} [/tex]

[tex] \frac{1}{2} - 1[/tex]

[tex] = - \frac{1}{2} [/tex]

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