B2. Complete the half equations by balancing it and identify each half reaction as either an oxidation (O) or reduction (R) reaction.
(1) Na (s)
Na' (aq)
Your answer
Mg?"(aq)
Mg(s)
Your answer
(ili)
Fe (s)
-
>
Fe"(aq)

Question:

Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.

f(x) = 2x2 + 16

g of x equals the square root of the quantity 5 x cubed

f(g(x))=  

Step-by-step explanation:

Given:

f(x) =

g(x) =

f(x) represents the amount of money Raul earns per ticket

x is the number of tickets he sells

g(x) represents the number of tickets Raul sells per hour

To find:

f(g(x)) = ?

Solution:

f(g(x)) represent the amount Raul earns by selling tickets for x hours

We know,

f(x)  =

f(g(x)) =

The square root and power 2 cancel each other

f(g(x))  =

f(g(x)) =

So at x hours

Raul earns

For example lets assume Raul works for 5 hours, then the amount he earns will be

f(g(x)) =

f(g(x))  = 10(125) +16

f(g(x)) = 1250 +16

f(g(x)) =  1266

You  can also find the amount Raul earns by

g(x) =

g(x) =

g(x) = 25

Substituting in f(x)

f(g(x)) = f(25)

f(25)  =

f(25) = 2(625) +16

f(25) = 1250 + 16

f(25) = 1266

so Raul will be earning 1266 if he sells tickets for 5 hours