How do you determine #f(g(x))# and #g(g(x))#, given #f(x)=x^2+x# and #g(x)=x^2+x#?

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Answer 1 · 2017-02-26T07:19:26

The answers are #f(g(x))=g(g(x))=(x^2+x)(x^2+x+1)#

This is a compositio of functions

#f(x)=x^2+x#

#g(x)=x^2+x#

#f(g(x))=f(x^2+x)=(x^2+x)^2+(x^2+x)#

#=(x^2+x)(x^2+x+1)#

#g(g(x))=g(x^2+x)=(x^2+x)^2+(x^2+x)#

#=(x^2+x)(x^2+x+1)#