<u>Function</u> <u>composition</u> is applying one function to the <u>results</u> of another:

This means the result of g() is sent through f(). Written notation for the composition is

Note that
then

Since
then

Answer: 
Answer:
w=-13/4
w=2
Step-by-step explanation:
|8w+5|=21
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|8w+5| = 21
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |8w+5|
For the Negative case we'll use -(8w+5)
For the Positive case we'll use (8w+5)
STEP
3
:
Solve the Negative Case
-(8w+5) = 21
Multiply
-8w-5 = 21
Rearrange and Add up
-8w = 26
Divide both sides by 8
-w = (13/4)
Multiply both sides by (-1)
w = -(13/4)
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(8w+5) = 21
Rearrange and Add up
8w = 16
Divide both sides by 8
w = 2
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
w=-13/4
w=2
The answer is B. 9
(g o f)(x) = g(f(x))
f(x) = x + 2
f(-5) = -5 + 2 = -3
g(x) = x²
(g o f)(-5) = g(f(-5)) = g(-3) = (-3)² = 9
Answer: C= 24
B= 4
Step-by-step explanation:
The ratio between the two triangles is 1:2
C = 12 × 2 = 24
B = 8 ÷ 2 = 4