math help! Composition and functions (Algebra 2)

Question

A clothing store advertises that it is having a 25% off sale. For one day only, the store advertises and additional savings of 10%. Use composition of functions to find the total percent discount. What would be the sale price of a $40 sweater?

Answer 1

good morning Ariyana,

 

f(x) = .75x

 

g(x) = .9x

 

For that day, the total discount would be found by calculating g((f(x))

 

the composite fomula for g(f(x)) = (.75)(.9)(x)

 

You can plug 40 into this and get (.75)(.9)(40) = 27

 

The sale price is $27

 

:)