Question

Functions f(x) and g(x) are defined below. Determine where f(x) = g(x) by graphing.

Answer 1

Answer:

Option D. x = 4

Step-by-step explanation:

we have

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

$g(x)=2\sqrt{x-3}$

we know that

The solution of the system

f(x)=g(x)

is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (4,2)

see the attached figure

therefore

The solution is x=4