Tommy has some money at home from his graduation modeled by the function h(x) = 350. He read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x − 1. Tommy is thinking about putting his money into the savings account to gain interest. Using complete sentences, explain to Tommy how he can combine his functions to create a new function, and explain what this new function means.

**Solution**

h(x) = 350

s(x) = , here x is the money deposited

we can combine these two function by putting h(x) as x in the function s(x) as h(x) is the money he had.

new function

f(x) =

f(x) =

f(x) =

f(x) = 880309.55

this function shows that he will get 880309.55 money as the interest of initial money he had.

This is incorrect. It should be h(x) * s(x) = 350(1.04)^(x − 1)

and this function is the balance after x years in the savings account.