Question

What does (fog)(x) mean?
Does it mean that f goes into g

For example f(x)=(square root)x-3 and g(x)=2x-5

Answer 1

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

Answer 2

f o g (x) means to put g(x) in place of x in f(x)

Answer 3

\[f(x)=\sqrt x-3 \]
\[f(g(x)=\sqrt{2x-5}-3\]

Answer 4

it means the composition of f onto g..... So first put g(x) and then f(x);..... LIke in ur question........
fog(x)=f(g(x))=f(2x-5)...... now this is like f(x)..... where x=2x-5.... So according to ur question..... f(x)=(square root)x-3 .... here..... put x=2x-5.... u will get the answer......

Answer 5

Thank you! I get it now :)

Answer 6

my pleasure...........!