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:    $g(f(a))=1.07a+50$

Step-by-step 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, $g(f(a))=1.07a+50$