Consider the given functions:
\(\begin{array}{ccc} f(x) & = & 5x^2 - \frac{1}{x}+ 3\\ g(x) & = & x^2-k \end{array}\)
if \(f(2) - g(2) = 2\), what is the value of k?
\(f(2) = 5(2^2) - \dfrac 1 2 + 3 = \dfrac{45}{2}\\ g(2) = 2^2 - k = 4-k\\ f(2)-g(2)=2\\ \dfrac{45}{2}-(4-k) = 2\\ \dfrac{37}{2} + k = 2\\ k = -\dfrac{33}{2}\)
thanks rom!
+1206 
