Answer:
Step-by-step explanation:
Given that there are two functions f and g as
We have to find the composition of functions.
Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.
a)
b)
c)
d)
Answer: 9
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle.
Answer:
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
