# SAT Math Multiple Choice Practice Question 511: Answer and Explanation

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**Question: 511**

**10.** If *f*(g(a)) = 6, *f*(*x*) = + 2, and *g*(*x*) = |*x*^{2} - 10|, which of the following is a possible value of *a*?

A.

B.

C. 2

D. 6

E. 18

**Correct Answer:** A

**Explanation:**

**A** This a great opportunity to Plug In The Answers! Start with C, and plug into *g*(*x*) first: |2^{2} – 10| = 6. Now plug that value into *f*(*x*): + 2 = 5. Cross out C. Now the tough decision is whether or not a bigger or smaller value of *a* is needed. If you aren't sure which way to go, then just try another answer. For instance, plug D into *g*(*x*): |6^{2} – 10| = 26. Now into *f*(*x*): + 2 = 15. You got a lot further away from the answer, and using D resulted in a number much too big! Cross out E as well, and try one of the first two answers. Plug A into *g*(*x*): . Now into *f*(*x*): + 2 = 6! A is the correct answer.