How Do You Find (gof)(−2) Given F(x)=−3x+4 And G(x)=x2? - Socratic

How do you find #(gof)(-2)# given #f(x)=-3x+4# and #g(x)=x^2#? Algebra Expressions, Equations, and Functions Function Notation

1 Answer

F. Javier B. Apr 25, 2018

Apply definition. See below

Explanation:

#g@f(x)=g(f(x))=g(-3x+4)=(-3x+4)^2#

In #x=-2# we have #g@f(-2)=(-2·-3+4)^2=10^2=100#

As bonus

#f@g(x)=f(g(x))=f(x^2)=-3x^2+4#

And for #x=-2# we have #f@g(-2)=-3(-2)^2+4=-8#

So composed functions are not the same and then there is no conmutativity

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