Start by figuring out which number is bigger.
f(3) = 150*(2)^3
f(3) = 150* 8
f(3) =1200
g(3) = 100*(3)^3
g(3) = 100*27
g(3) = 2700
Conclusion: g(n) is larger. That's not really the question. The question is how do you enter the data? What they are trying to make you do is stop at the end of the first line and take out the common factor like this
g(n) - f(n) = 100*3^n- 150*2^n The common factor is 50, so it looks like this.
g(n) - f(n) = 50 * (2*3^n - 3*2^n)
So the small box on the left should be 50
The box in brackets should be (2*3^n - 3*2^n)
Where does this course come from? The problem in not math. The problem is reading.