Given #f(x) = |2x + 1|#, #g(x) = 3x³ -1# how do you find f(g(x))? Precalculus Functions Defined and Notation Function Composition 1 Answer Topscooter · Trevor Ryan. Dec 17, 2015 #f@g(x) = abs(2(3x^3 - 1) + 1)=abs(6x^3-1)# Explanation: Keep in mind that #(f@g)(x)# = #f(g(x))# so you just have to replace the#x# in #f# by the expression of #g#. 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 #(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)#? See all questions in Function Composition Impact of this question 1582 views around the world You can reuse this answer Creative Commons License