Question

Okay so i know g(x)= 3k-2x² and g(-3)=-6

and I also just figured out that k=4
but how do I know what g(x) is?

Answer 1

g(x)= 3k-2x²

g(-3)=-6 ____(1)

So, using (1),

-6 = g(-3)

=> -6 = 3k - 2(-3)²

=> -6 = 3k - 2(9)

=> -6 = 3k - 18

=> -6 +18 = 3k

=> 12 = 3k

=> 12/3 = k

=> 4 = k

Now, you can find g(n) for any number n, as now we know the value of k. Specify the value of x, if you want to know what is g(x).