Question 389755
Given {{{f(x) = -4x^2}}} and {{{g(x) = 2/x}}}, 

to find: {{{( f o g)(x)}}}

In this case, I am not trying to find a certain numerical value. Instead, I am trying to find the formula that results from plugging the formula for g(x) into the formula for f(x). I will write the formulas at each step, using parentheses to indicate where the inputs should go:

      {{{( f o g)(x) = f (g(x))}}}

          = {{{f (2/x)}}}

          = {{{-4( ___  )^2}}}            ... setting up to insert the input formula

          = {{{-4(2/x )^2}}}

          = {{{-4(4/x ^2)}}}

          = {{{-16/x ^2}}}....or...{{{-16(1/x ^2)}}}