The correct answer for this would be X=10
He was traveling 63 mph
divide 315 by 5 and you get 63
check your answer by multiplying his speed (63mph) by 5 (number of hours)
Answer:
Part 1) ![f(g(x))=3(x^2)+2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D3%28x%5E2%29%2B2)
Part 2) ![g(f(5))=289](https://tex.z-dn.net/?f=g%28f%285%29%29%3D289)
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
![f(x)=3x+2](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B2)
![g(x)=x^{2}](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E%7B2%7D)
Part 1) Determine f(g(x))
To find f(g(x)) substitute the function g(x) as the variable in function f(x)
so
![f(g(x))=3(x^2)+2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D3%28x%5E2%29%2B2)
Part 2) Determine g(f(x))
To find g(f(x)) substitute the function f(x) as the variable in function g(x)
so
![g(f(x))=(3x+2)^2](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%283x%2B2%29%5E2)
For x=5
![g(f(5))=(3(5)+2)^2](https://tex.z-dn.net/?f=g%28f%285%29%29%3D%283%285%29%2B2%29%5E2)
![g(f(5))=289](https://tex.z-dn.net/?f=g%28f%285%29%29%3D289)
For the answer to the question above asking what is Richard’s monthly net income if <span>Richard receives a paycheck twice each month. Here’s a copy of one of his pay statements. If there are 2 paydays per month?
The answer for this is first solved for his Net Pay then you can multiply it by two so that you can get his monthly net income.</span>