Functions f(x) and g(x) are defined below. determine where f(x) = g(x) by graphing. a. x ~-6.2 ; x = -4 b. x = -4 ; x = -1 c. x = -1 ; x ~8.1 d. x ~-6.2 ; x ~8.1

C. x = -1 ; x ~8.1

Step-by-step explanation:

First we graph

Here we have x+2 under the square root. x+2>=0, x>=-2

So we take some x  values greater than -2  and find out f(x)  to make a table for graphing

x        f(x)

-2      

-1        -4

2        -5

Graph it  and extent the graph

Now we graph

Given equation is in the form of g(x) = a|x-h| + k

where (h,k) is the vertex

here h= 3  and k = 4, so vertex is (3,4)

Now make a table, pick some numbers for x  less than and greater than vertex

x     y

-1    

0    

3    4

6     -2

Both graphs are attached below

The graph of f(x)  and g(x) interests  at x= -1  and x=8.1