Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
(7-1)/3=x
(14-2)/4=x
1. x=2
2. x=3
If you are looking for the number of bananas per bag you must first subtract your remainders from the total number of bananas, then divide those bananas by the number of bags and you have your answer.
3 customers times the amount of cups plus 6 dollars in change is less than 24.
Answer:
chicken nugget
Step-by-step explanation:
Sorry its hard to read and see
