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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)).

Respuesta :

Answer:    [tex]g(f(a))=1.07a+50[/tex]

Step-by-step explanation:

The given functions are:   [tex]f(a)=1.07a[/tex] and [tex]g(b)= b+50[/tex]

[tex]g(f(a))[/tex] means [tex]f(a)[/tex] is the input of the function [tex]g[/tex].

Thus,  [tex]g(f(a))= g(1.07a)[/tex]

Now replacing  [tex]b[/tex] as [tex]1.07a[/tex]  into the given function of  [tex]g(b)[/tex], we will get......

[tex]g(1.07a)= 1.07a+50[/tex]

So, [tex]g(f(a))=1.07a+50[/tex]

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