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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?

 Aug 8, 2019

Best Answer 

 #1
avatar+6045 
+2

\(f(2) = 5(2^2) - \dfrac 1 2 + 3 = \dfrac{45}{2}\\ g(2) = 2^2 - k = 4-k\\ f(2)-g(2)=2\\ \dfrac{45}{2}-(4-k) = 2\\ \dfrac{37}{2} + k = 2\\ k = -\dfrac{33}{2}\)

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 Aug 9, 2019
 #1
avatar+6045 
+2
Best Answer

\(f(2) = 5(2^2) - \dfrac 1 2 + 3 = \dfrac{45}{2}\\ g(2) = 2^2 - k = 4-k\\ f(2)-g(2)=2\\ \dfrac{45}{2}-(4-k) = 2\\ \dfrac{37}{2} + k = 2\\ k = -\dfrac{33}{2}\)

Rom Aug 9, 2019
 #2
avatar+1196 
0

thanks rom!

 Aug 11, 2019

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