Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
Blue triangle: perimeter is 4x+2+7x+7+5x-4, or, after simplification,
16x + 5
Red triangle: perim. is 2x-5+x+7+x+3 (and so on).
X-5+5x-12=25
x+5x=25+5+12
6x=42
x=42/6
x=7
I'll try to explain in the simplest way possible:
Total cost for a single widget: $32 + $44 = $76 for one widget.
So, since we know the cost of one widget is $76, then the price of 350 widgets would be = $76 x 350 = $26,600.
