2012-06-29 09:00:05

If f(x) = x + 7, g(x) = (3x)², and h(x) = x/4, what does 2f(g(h(12))) equal?

The correct answer is 176

Explanation: In nested functions, start with the innermost set of parentheses. The outcome of that equation will become the input of the next function and so forth. Thus, start by finding h(12). h(12) is (12)/4, or 3. Use 3 in the g function. g(3) is (3(3))², or (9)², which is 81. Use this value in the f function. f(81) is (81) + 7, or 88. Finally, to find 2f, multiply 88 by 2 to get 176.