If f(x)=1/x and g(x) = x+4, which of the following is the graph of (gf)(x)?
1 answer:
The graph of the function 1 + 4/x is attached below.
<h3>What is a graph?</h3>A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given;
If f(x ) = 1/x and g(x) = x+4
then,
(gf)(x)
= 1/x (x + 4)
= 1 + 4/x
The graph of the function 1 + 4/x is attached below.
Learn more about finding the graphed function here:
#SPJ1
You might be interested in
Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)
The slope represent the speed of the airplane
so
The linear equation is
Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours
Completing the square follows the principle of taking 
and converting it into 
where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us 
.
In this case, 2/2=1 so we have the first part:
.
Expanding this gives us
. We need c to be 9, so we can just add 8.
Putting this together:
Now we can solve it more easily.
Rearranging:
In this case, 2/2=1 so we have the first part:
Expanding this gives us
Putting this together:
Now we can solve it more easily.
Rearranging: