Question 1104793
<br>
We want f(g(x)) to be equal to 1/x^2, or x^-2.<br>
Solve the function g(x) for the variable x: {{{g(x) = 2x+1}}}  -->  {{{x = (g(x)-1)/2}}}<br>
Then f(x) must be {{{((x-1)/2)^(-2)}}}<br>
CHECK:<br>
{{{f(g(x)) = ((g(x)-1)/2)^-2 = ((2x+1-1)/2)^-2 = x^-2 = 1/x^2}}}