# Thread: composition of 3 functions

1. ## composition of 3 functions

Express the function in the form f g h. (Use only elementary functions, but not the identity function, g(x) = x.)

f(x) =
g(x) =
h(x) =

im sooo lost

2. Originally Posted by kyleu03
Express the function in the form f g h. (Use only elementary functions, but not the identity function, g(x) = x.)

f(x) =
g(x) =
h(x) =

im sooo lost
$\displaystyle f(x)=\sqrt[7]{x}$
$\displaystyle g(x)=2+x$
$\displaystyle h(x)=|x|$

$\displaystyle f\circ g\circ h$ means $\displaystyle f(g(h(x)))$.

So $\displaystyle f(g(h(x)))= f(g(|x|))=f(2+|x|)=\sqrt[7]{2+|x|}$.

3. Originally Posted by redsoxfan325
$\displaystyle f(x)=\sqrt[7]{x}$
$\displaystyle g(x)=2+x$
$\displaystyle h(x)=|x|$

$\displaystyle f\circ g\circ h$ means $\displaystyle f(g(h(x)))$.

So $\displaystyle f(g(h(x)))= f(g(|x|))=f(2+|x|)=\sqrt[7]{2+|x|}$.

oh now it makes sense. thank you very much

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