Answer:
The inner function is 
and the outer function is 
.
The derivative of the function is 
.
Step-by-step explanation:
A composite function can be written as 
, where 
and 
are basic functions.
For the function 
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have 
inside parentheses. So is the inner function and the outer function is .
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function is the composition, , of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .
The answer is <span>A. 2 eggs / 3 cups of flour = 12 eggs / 18 cups of flour because 2 x 18 = 3 x 12 = 36.</span>
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.
Answer:
To find the domains you must graph this equation and find the x-coordinates of the points plotted. That's the domain.
Remember, if two points have the same x-coordinate then do not repeat the number when stating the domain. Domain also always must be written in the least to greatest order. Domains must be written with {} enclosing them.
So if the x-coordinates were 4,5,6,4,7,5
You would write the domain as {4,5,6,7}
.6k+.9=1.6
.6k=.7
k=7/6= 1 1/6
k= 1 1/6
Hope this helps.
