Question

f(x)=((x-2)/(3)) g(x)= x^2
Find (f o g)(x).

Answer 1

\[(f\circ g)(x)=f(g(x))=\frac{g(x)-2}{3}=\frac{x^2-2}{3}\]

Answer 2

Thank you! I just wanted to make sure I had done it right. How do I find the domain for that function?

Answer 3

It is a polinomy, so its domain is "all reals"

Answer 4

If the function was,
\[\frac{2}{x^2-4}\]Then as it is a rational function, you should equate the denominator to 0,
\[x^2-4=0\Rightarrow x=\pm2\] As a fraction cannot have a 0 denominator, then its domain is all reals except -2 and +2.