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]

Answer Link

Otras preguntas

What is an example of "interval level"?
What is the range of the data shown in the frequency table? 5,3,4 and 13
Please I want this answer..
what is the measure of BFC,​
How can you stop struggling to read and do math?
A 6.13 g sample of an unknown salt (MM = 116.82 g/mol) is dissolved in 150.00 g water in a coffee cup calorimeter. Before placing the sample in the water, the t
function of throxine and insulin​
Juan es ….. Marta es….. Luis y Patricia son ….. Claudia es…. Laura y Angélica son…..
Which expression is equivalent to 4+2?
What can you do when designing a magazine cover? A. adjust the font, color, and size of the text on the cover B. adjust the contents of the magazine C. add the