Given $f(x)=5-x$ and $g(x)=2sqrt(3x)$ what is the value of $f(g(3))$ ?

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Answer 1 · 2017-01-22T11:27:04

The answer is $=-1$

This a composition of functions

$f(x)=5-x$

$g(x)=2sqrt(3x)$

$f(g(x))=f(2sqrt(3x))$

$=5-2sqrt(3x)$

Therefore,

$f(g(3))=5-2sqrt(3*3)=5-2*3=-1$

Given f(x)=5-xf(x)=5-x and g(x)=2sqrt(3x)g(x)=2sqrt(3x) what is the value of f(g(3))f(g(3))?