PSAT Math Multiple-Choice Question 413: Answer and Explanation

Question: 413

If and where x≠-1, what is g(f(3)) ?

• A.
• B.
• C. 26
• D.

Correct Answer: A

Explanation:

A

Difficulty: Easy

Getting to the Answer: Make sure you compute the functions in this composition in the correct order. Start with the innermost set of parentheses as you would with any composition of functions. Substitute 3 for x in f(x): Next, take the output of f (3) and use it as the input for g(x): This matches (A).