SOLUTION: Please help me find {{{ g(1/2) }}} for {{{ g(x)=x/(sqrt(1-x^2)) }}} So far, I got {{{ (1/2)/(sqrt(3/4)) }}} but I'm not sure how to continue solving it. The answer in the back of

Algebra ->  Functions -> SOLUTION: Please help me find {{{ g(1/2) }}} for {{{ g(x)=x/(sqrt(1-x^2)) }}} So far, I got {{{ (1/2)/(sqrt(3/4)) }}} but I'm not sure how to continue solving it. The answer in the back of      Log On


   



Question 51970This question is from textbook College Algebra
: Please help me find +g%281%2F2%29+ for +g%28x%29=x%2F%28sqrt%281-x%5E2%29%29+
So far, I got +%281%2F2%29%2F%28sqrt%283%2F4%29%29+ but I'm not sure how to continue solving it. The answer in the back of the book is +1%2Fsqrt%283%29+ or +sqrt%283%29%2F3+. I have no idea how to get to that answer. Thank you so much for your time and help!
This question is from textbook College Algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
One more step.
+%281%2F2%29%2F%28sqrt%283%2F4%29%29+ is the same as
%281%2F2%29+%2F+%28sqrt%283%29+%2F+sqrt%284%29%29 and sqrt%284%29+=+2
+%281%2F2%29%2F%28sqrt%283%2F4%29%29+=+%281%2F2%29+%2F+%28sqrt%283%29+%2F+2%29
%281%2F2%29+%2F+%28sqrt%283%29+%2F+2%29+=+1+%2F+sqrt%283%29 and
1+%2F+sqrt%283%29+=+sqrt%283%29+%2F+3