Let f(x)=#x^2+2# and g(x)=2x−2, evaluate: f(g(3))? Precalculus Functions Defined and Notation Function Composition 1 Answer Nathan S. · Stefan V. Feb 27, 2018 #18# Explanation: #g(3)# means you plug #3# into the #g(x)# function, which results in: #g(3)=2(3)-2 = 4# With this information, you plug the #4# into your #f(x)# function: #f(g(3))=(4)^2 + 2 = 18# 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 4087 views around the world You can reuse this answer Creative Commons License