Question

The function for the cost of materials to make a muffin is f(x)=3/4x+3 where x is the number of muffin the function for the selling price of those muffins is g(f(x)) where g(x)=3x+4 find the selling price of 20 muffins

Answer 1

G of F of X, in this case, would be 3(3/4x +3) + 4. Plugging in 20 gives you 3(3/4(20) +3)+4 = $58

Answer 2

The selling price of those muffind is $58.

Explanation:

The cost of materials to make a muffin is

`f(x)=(3)/(4)x+3`

Their selling price is determined by
`g(f(x))`, where

`g(x)=3x+4`

So, to find the selling price of 20 muffin, we just have to introduce x=20 in the first function, and its results introduce it in the second function, because
`g(f(x))` expresses that the first function must be introduce in the second function.

`f(x)=(3)/(4)x+3\\f(20)=(3)/(4)(20)+3=3(5)+3=15+3=18`

Then,

`g(x)=3x+4\\g(18)=3(18)+4=54+4=58`

Therefore, the selling price of those muffind is $58.