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?

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