Question

Functions f(x) and g(x) are defined below.
f(x)= 2/x+3 +1,
g(x)= -|x+3|
Determine where f(x)=g(x) by graphing
A: -4
B: -2
C: -1
D: 4

Answer 1

Answer:

Option A: -4

Step-by-step explanation:

we have

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

$g\left(x\right)=-\left|x+3\right|$

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is (-4,-1)

see the attached figure

so

The solution of f(x)=g(x)

Is equal to the x-coordinate of the intersection point both graphs

therefore

The solution is x=-4