The value of k in the given function is k =3
From the question, the given function is F(x)= kx2
This can be properly written as
\(f(x) =kx^{2}\)
Also, from the question, we have that f(2) = 12
Since \(f(x) =kx^{2}\)
∴ \(f(2) =k(2)^{2}\)
This becomes
\(f(2) = k \times 4\)
\(f(2) = 4k\)
Now, to determine the value of k, we will input the value of f(2), that is f(2)=12 in the above equation, that is
\(f(2) = 4k\) becomes
\(12= 4k\)
Now, divide both sides by 4
\(\frac{12}{4} = \frac{4k}{4}\)
\(3 = k\)
∴ \(k = 3\)
Hence, the value of k in the given function is k =3
Learn more here: https://brainly.com/question/13053668
