Let assume x be the sale price
A clothing store advertises that it is having a 25% off sale.
The sale price with 25% discount is f(x) = sale price - 25% of sale price
f(x)= x - 0.25x = 0.75x
For one day only, the store advertises and additional savings of 10%.
The sale price with 10% discount is g(x) = sale price - 10% of sale price
g(x)= x - 0.10x = 0.90x
Use composition function
g(f(x)) = g( 0.75x) = 0.90(0.75x) = 0.675x
That is 0.675/100 = 67.5%
The total percent discount = 100% - 67.5% = 32.5%
what would be the sale price of a $40 sweater?
Here sale price x= 40
So we plug in 40 for x
g(f(40)) = g( 0.75(40)) = 0.90(0.75(40)) = 0.675(40) = 27
The sale price of sweater = $27
