Question for-th

2.1 Nonlinear Functions - Function composition and evaluation
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f of x equals, 2 times, open parenthesis, 3 raised to the x power, close parenthesis

For the function f defined above, what is the value of f of 2?

A.

9

B.

12

C.

18

D.

36

For the function f defined above, what is the value of ?

Medium-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. The value of f of 2 is found by evaluating the expression 2 times 3 raised to the x power when x equals 2. Substituting 2 for x in the given equation yields f of 2 equals, 2 times, 3 squared. Simplifying 3 squared in the equation results in f of 2 equals, 2 times 9. Evaluating the right-hand side of the equation yields f of 2 equals 18. Therefore, the value of f of 2 is 18.

Choice A is incorrect and may result from evaluating the expression as 3 squared. Choice B is incorrect and may result from evaluating the expression as 2 times, open parenthesis, 3 times 2, close parenthesis. Choice D is incorrect and may result from evaluating the expression as open parenthesis, 2 times 3, close parenthesis, squared.