If #f(x) = x^2# and #g(x) = x + 2#, what is #(f@g)(x)#? Precalculus Functions Defined and Notation Function Composition 1 Answer AJ Speller Sep 13, 2014 #(f@g)(x)=f(g(x))=f(x+2)=(x+2)^2# Click on the link below to see another example. If #f(x) = x^2# and #g(x) = x + 2#, what is #(g@f)(x)#? Answer link Related questions What is function composition? What are some examples of function composition? What are some common mistakes students make with function composition? Is function composition associative? Is it always true that #(f@g)(x) = (g@f)(x)#? If #f(x) = x + 3# and #g(x) = 2x - 7#, what is #(f@g)(x)#? If #f(x) = x^2# and #g(x) = x + 2#, what is #(g@f)(x)#? What is the domain of #(f@g)(x)#? What is the domain of the composite function #(g@f)(x)#? If #f(x) = x/6 - 2# and #g(x) = 6x + 12#, how can I show #(f@g)(x) = (g@f)(x)#? See all questions in Function Composition Impact of this question 13686 views around the world You can reuse this answer Creative Commons License