Question

Can somebody explain how to find the answer? I'm confused.

Answer 1

Answer: $f(4a)=\frac{4a+6}{16a^2+1}$

Step-by-step explanation:

f(4a) means everything you see x, plug that in with 4a. Doing that exactly so, we can see that below.

$f(x)=\frac{x+6}{x^2+1}$               [plug in x=4a]

$f(4a)=\frac{4a+6}{(4a)^2+1}$          [exponent]

$f(4a)=\frac{4a+6}{16a^2+1}$

Since this cannot be simplified, $f(4a)=\frac{4a+6}{16a^2+1}$ is our answer.