Question

A mattress store charges 7% sales tax and a $50 delivery fee. The delivery fee is not subject to sales tax. The following functions represent the situation F(a)=1.07a and g (b)= b+50

Solve for g (f (a)).

Answer 1

Answer:
`g(f(a))=1.07a+50`

Explanation:

The given functions are:
`f(a)=1.07a` and
`g(b)= b+50`

`g(f(a))` means
`f(a)` is the input of the function
`g`.

Thus,
`g(f(a))= g(1.07a)`

Now replacing
`b` as
`1.07a` into the given function of
`g(b)`, we will get......

`g(1.07a)= 1.07a+50`

So,
`g(f(a))=1.07a+50`