Amattress store charges 7% sales tax and a 50 delivery fee

We are given function f(a) = 1.07a for total amount including sales tax.

g(b) = b+50 total cost including delivery.

We need to write function g(f(a)).

g(f(a)) = g of f(a).

We need to substitute function f(a) in g(b) function for b.

g(f(a)) = g(1.07a) = 1.07a +50.

We are given mattress price a = $1125.

In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.

Plugging a= $1125, we get

g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.

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step-by-step explanation: