Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2. 
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree. 
- In the <u>composition of function</u><em> f  </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f  </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)). 
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x). 
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2)  + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8  + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13. 
 
        
             
        
        
        
Answer: B, 120
Step-by-step explanation:
look at x-value 8 and find y-value
 
        
                    
             
        
        
        
Answer:
x=57 degree
Step-by-step explanation:
 
        
                    
             
        
        
        
30 less than means -30
4 times a number means 4 times x or 4x
equal means =
14 is 14
-30+4x=14
add 30 boths ides
30-30+4x=14+30
0+4x=44
4x=44
divid by 4
4/4x=44/4
1x=11
x=11