If f(x) = 7-2x and g(x) = x+3 . A. What is g^-1 (x) ? B. What is f(g^-1(5)) ?

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Answer 1 · 2015-09-24T01:21:46

#g^-1(x)=x-3#
#f(g^-1(5))=3#

#Def. g^-1(g(x))=x#

#g^-1(x+3)=x#

#x+3=t => x=t-3#

#g^-1(t)=t-3#

#g^-1(x)=x-3#

#g^-1(5)=5-3=2#

#f(g^-1(5))=f(2)=7-2*2=3#