Question

Find (fog)(2) and (f+g)(2) when f(x)=1/x and g(x)=4x+9

Answer 1

\[(f\circ g)(x)=f\big(g(x)\big)\\
(f+g)(x)=f(x)+g(x)\]

Answer 2

can you find \(g(2)\) ?

Answer 3

sorry I am still a bit confused

Answer 4

\[g(x)=4x+9\]
\[g(2)=4(2)+9=4\times2+9=\]

Answer 5

ok I kind of get it now, so I do the same for f(x)=1/x ?

Answer 6

Yeah, lets work out (f+g)(2) first because its a bit easier .

What do you get?