1. ## [SOLVED] composite functions

I'd just like some verification that I did this right. The answer I got is a bit bizarre, but I'm not seeing any issues in my math.

the equation is
$\displaystyle g(x) = \frac{x}{x^2+5}$

the composite I'm supposed to solve is
$\displaystyle g \circ g(3)$

so I plug 3 into the function and get $\displaystyle \frac{3}{14}$
then plug that back in and get
$\displaystyle \frac{42}{989}$

I think I'm doing the math right, but that's not typically the kind of answer you'll find when solving problem for class, so I just wanted some verification I hadn't gone off kilter somewhere.

*edited* made a mistake, recalculated, adjusted the above to reflect what I think is correct math

2. Originally Posted by satis
I'd just like some verification that I did this right. The answer I got is a bit bizarre, but I'm not seeing any issues in my math.

the equation is
$\displaystyle g(x) = \frac{x}{x^2+5}$

the composite I'm supposed to solve is
$\displaystyle g \circ g(3)$

so I plug 3 into the function and get $\displaystyle \frac{3}{14}$
then plug that back in and get
$\displaystyle \frac{42}{989}$

I think I'm doing the math right, but that's not typically the kind of answer you'll find when solving problem for class, so I just wanted some verification I hadn't gone off kilter somewhere.

*edited* made a mistake, recalculated, adjusted the above to reflect what I think is correct math

$\displaystyle g[g(3)] = \frac{42}{989}$ is correct.

3. awesome, thanks for the verification