12
QuizMultiple Choice

Analyzing Compositions of Functions — Quiz

Question 12 • Mathematics III

If f of x is equal to 3 x and g of x is equal to 2 x , what is open paren g circ f close paren times x ?

Answer
A
open paren g circ f close paren times x is equal to 6 x squared
B
open paren g circ f close paren times x is equal to 5 x
C
open paren g circ f close paren times x is equal to 6 x
D
open paren g circ f close paren times x is equal to 5 x squared

Explanation

The composition (g ∘ f)(x) means substitute f(x) into g. Since f(x) = 3x and g(x) = 2x, we get g(f(x)) = 2(3x) = 6x. Therefore, the correct choice is A: (g ∘ f)(x) = 6x.

AI-written and checked against the verified answer.

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