Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function
we have


Part 1) Determine f(g(x))
To find f(g(x)) substitute the function g(x) as the variable in function f(x)
so

Part 2) Determine g(f(x))
To find g(f(x)) substitute the function f(x) as the variable in function g(x)
so

For x=5


Answer:
see explanation
Step-by-step explanation:
Assuming you are factoring the expression
Given
4y² + 26y + 30 ← factor out 2 from each term
= 2(2y² + 13y + 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.
product = 2 × 15 = 30 and sum = 13
the factors are 10 and 3
Use these factors to split the y- term
2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )
= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term
= (y + 5)(2y + 3)
Thus
4y² + 26y + 30
= 2(y + 5)(2y + 3)
Answer:
25/33
Step-by-step explanation:
1) find the least common denominator (LCD)
The LCD of 11 and 3 is 33
Multiply 9/11 by 3/3
You can do this because you are basically multiplying 9/11 by 1, (3/3 = 1)
See file below for steps
Answer:
7/10
Step-by-step explanation:
To find how many of x are y, you solve <em>y/x</em>.
With our numbers, we have <em>7/6 ÷ 5/3</em>.
We can turn that into <em>7/6 × 3/5</em> = <em>21/30</em> = 7/10.
Answer:
8 rolls for $1.89
Step-by-step explanation:
when you divide to see how much each one costs the 8 rolls is better