Question

Solve g(f(x)) when f(x)=x^2+5 and g(x)=squareroot of 9-x and can you please help me with the problem i know how to do it i just cant find the answer!

Answer 1

\[g(f(x))\]
\[f(x)=x^2+5\]
\[g(x)=\sqrt{9-x}\]
\[g(x^2+5)=\sqrt{9-(x^2+5)}=\sqrt{4-x^2}\]
or

\[\sqrt{2-x}\sqrt{2+x}\]