First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute 
, it means that you have to substitute 
in place of 
. Differently from the first two points, this will generate a new function, rather than a specific value:
Second picture:
Given the point 
highlighted in the picture, you can deduce that the base is 
units long (since it spans from 
to 
) and the height is 
units long (because it spans from to ). So, the area of the rectangle is the multiplication between base and height:
But we know that 
, so we have
The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have
But since the problem is symmetric, the answer is
You can only see the answer 
because, if you choose 
or 
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
Answer:
<em>f(g(2))=7</em>
Step-by-step explanation:
<u>The Composite Function</u>
Given f(x) and g(x) as real functions, the composite function 
is defined as:
It can be found by substituting g into f.
The given functions are:
It's required to find f( g( 2 ) )
Find g(2):
Operating:
g(2)=1
Now find f(1):
Thus:
f( g( 2 ) )=7
Answer:
A is the correct answer to the question
The first one is 24 the second is 96
