SAT Math Multiple Choice Question 549: Answer and Explanation

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Test Information

Question: 549

x –2 –1 0 1 2 3
g(x) 5 3 1 –1 –3 –5
h(x) –3 –2 –1 0 1 2

9. Several values for the functions g(x) and h(x) are shown in the table. What is the value of g(h(3))?

  • A. –5
  • B. –3
  • C. –1
  • D. 2

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Passport to Advanced Math / Functions

Strategic Advice: The notation g(h(x)) indicates a composition of two functions, which can be read "g of h of x." It means that the output when x is substituted in h(x) becomes the input for g(x).

Getting to the Answer: First, use the top and bottom rows of the table to find that h(3) is 2. This is your new input. Now, use the top and middle rows of the table to find g(2), which is –3.

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