Each month, barry makes three transactions in his checking account
• he deposits $700 from his paycheck
• he withdraws $150 to buy gas for his car
• he withdraws $400 for other expenses
if his account balance is $1,900 at the end of the 1st month, which recursive equation models barry's account balance at the end of month n?
a f(1) = 1,900; f(n) = 150 · (n − 1), for + > 2
b. f(1) = 1,900; f(n) = y(n-1) + 700, forn > 2
c. f(1) = 1,900; f(n) = f(n - 1) + 150, forn 2
d. (1) = 1,900; f(n) = f(n-1) - 150, for ^ > 2

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

i believe that the answer is y+6=1/3(x+2)