Answer: 36/24=18/12=9/6= or 1 1/3
Step-by-step explanation:
plug g(x) into f(x) then follow f(x) by 3(2x-3)^2 this foils out to be
36 plus or minus sqrt (36)^2-4(12)(270) over 24
the variables in the square root cancel so your left with 36/24 and in its simplest form its 1 1/3
Inverse variations are of the form x*y = k where k is some fixed number.
We have x = 9 and y = 2.5 so
x*y = 9*2.5 = 22.5
Therefore, x*y = k updates to x*y = 22.5, implying that k = 22.5
This is why the answer is actually choice B
Side Note: We can solve for y to get y = 22.5/x but this isn't listed as an answer choice
It is 30 because 4x-3y to 12x-9y is 3 times bigger
So you can multiply 3 to 10, that will be 30!