Question

Determine where f(x) = g(x) by graphing HELP PLEASE!!

Answer 1

C: x=-4

Explanation:

I would suggest using the website desmos.com to help you graph your equations.

As shown on the graph I posted, f(x)=g(x) at x=-4

Answer 2

Explanation:

Given are two functions f(x) and g(x)

`f(x) = (2)/(x+3) +1\\`

and

`g(x) = -|x+3|`

The two would be equal if

`(2)/(x+3) +1=x+3 or -x-3\\(2)/(x+3) =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0`

x=-4 or -1

Of these x=-4 is consistent as when x=-4, x<-3 hence

|x+3|= 1

So answer is -4