Question

f(x)=x-5/x+1

g(x) x+2/x-3

fog=?
gof=?
fof=?
gog=?

Answer 1

It's basically say f of g (x) which means f(g(x)) meaning you substitute g(x) function in f(x).

\[\huge f(g(x)) = \frac{ \frac{ x+2 }{ x-3 }-5 }{ \frac{ x+2 }{ x-3 }+1 }\] Put g(x) every place there is a x in function f(x).

Answer 2

Things will get cancelled so don't get worried, so use this same method and try it with others.

Answer 3

Thank you!