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#