Answer:
hello :
f(x) = 5x + 3; g(x) = 6x - 5 =
f/g = (5x+3)/(6x - 5) .....6x - 5 ≠ 0 so : x ≠ 5/6
Answer:
B. 20 years
Step-by-step explanation:
By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.
Answer:
4 minutes
Step-by-step explanation:
There are two hours from 11:30 a.m. to 1:30 p.m
The hourly rate of service is:

If the average number of customers in the system (n) is 10, the time that a customer spends in process is given by:

Converting it to minutes:

A customer spends, on average, 4 minutes in process.
1. P = 2(9) + 2(4.5)
P = 18 + 9
P = 27 m
2. P = 5.2(2) + 1.3(2)
P = 10.4 + 2.6
P = 13 ft
3. P = 12.9(2) + 4.7(2)
P = 25.8 + 9.4
P = 35.2 cm
<h3>
Answer: f( f(x) ) = x^4 + 2x^2 + 2</h3>
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Work Shown:
f(x) = x^2 + 1
f(x) = ( x )^2 + 1
f( f(x) ) = ( f(x) )^2 + 1 .. replace every x with f(x)
f( f(x) ) = ( x^2+1 )^2 + 1 .. plug in f(x) = x^2+1
f( f(x) ) = ( x^2+1 )( x^2+1 )+1
f( f(x) ) = y( x^2+1 )+1 .... let y = f(x) = x^2+1
f( f(x) ) = y*x^2+y+1 ... distribute
f( f(x) ) = x^2*( y ) + ( y ) + 1
f( f(x) ) = x^2*( x^2+1 ) + (x^2+1) + 1 .... plug in y = x^2+1
f( f(x) ) = x^4 + x^2 + x^2 + 1 + 1
f( f(x) ) = x^4 + 2x^2 + 2
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Side note:
, the small circle indicates function composition. It's similar to 