Condider the following equation f(x)=x^2+4/(4x^2-4x-8)

x^2+4/4(x-2)(x+1)

Step-by-step explanation:

I assume you're trying to put it in a simplified form.

The top is not factorable so you can focus on the bottom

take out the greatest common factor of 4 on the bottom

4(x^2-x-2)

Then factor this expression

your factors should be -2 and 1

so 4(x-2) (x-1)

Final

(x^2+4)/(4(x-2)(x-1))

oof

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0