Question

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

Answer 1

Answer:

$- \frac{1}{2}$

Step-by-step explanation:

First note that

$\frac{x + 3}{ {x}^{2} + 2x - 3} = \frac{x + 3}{(x - 1)(x + 3)} = \frac{1}{x - 1}$

so we have

$log_{4}(2) - \frac{1}{2 - 1}$

$\frac{1}{2} - 1$

$= - \frac{1}{2}$