<h2>Evaluating Composite Functions</h2><h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
We can write how
will be defined but that's too much work and it's only useful when we are evaluating
with many inputs.
First let's solve for
first. As you read through this answer, you'll get the idea of what I'm doing.
Given:

Solving for
:

Now we can solve for
, since
,
.
Given:

Solving for
:

Now we are can solve for
. By now you should get the idea why
.
Given:

Solving for
:

Answer:
y = root under 24 (evaluate it if necessary)
or y = 2 root 6
Step-by-step explanation:
Let the reference angle be x
for the triangle in left,
b = 6-4 = 2
Now,
taking x as refrence angle,
cosx = b/h
or, cosx = 2/h
again,
for the bigger triangle,
taking x as reference angle,
cosx = b/h
or, cosx = b/6
As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,
Let's suppose its a
so, cosx = a/6 = 2/a
now,
a/6 = 2/a
or, a² = 12
now,
for bigger triangle, using pythagoras theorem,
h² = p²+b²
or, 6² = y² + a²
or, 36 = y² + 12
or, y² = 24
so, y = root under 24
18. S=r^2-t^2
S+t^2=r^2
r=sqrt(S+t^2)
20. Tan 18=x/12
x=12×Tan 18
x=3.899036355
x=3.90
I hope this helps.
Answer:
3/4
Step-by-step explanation:
12/16 can be simplified just divide by 4
hoped this helped