A function is given:

f(x) = 3x + 12

a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
WILL GIVE BRAINLIEST PLEASE EXPLAIN WELL
100 POINTS

Step-by-step explanation:

hello :

a)

let  f(x) = y     so : x = g(y)

in expression = f(x) =3x+12

means : y = 3x +12  calculate : x

3x = y -12

x = (1/3)y - 4

the inverse is : g(x) = (1/3)x - 4

b)f(g(-2) = f(-14/3)

because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3

so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98