To work out the value of k, we can use the given information that fg(2) = 12. We know that fg(x) is the composition of two functions f and g, so we can write fg(x) = f(g(x))
In this case, fg(2) = f(g(2)) = f(k*2^2) = f(4k)
We know that fg(2) = 12. So we can substitute this value into the equation above:
12 = f(4k)
Since we are only interested in the value of k, we can set the equation equal to 12 and solve for k.
12 = 4k
k = 12/4
k = 3
Therefore, k = 3 is the value of k in the function g(x) = kx^2