Question for-th
For the function f defined above, what is the value of ?
9
12
18
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 is found by evaluating the expression
when
. Substituting 2 for x in the given equation yields
. Simplifying
in the equation results in
. Evaluating the right-hand side of the equation yields
. Therefore, the value of
is 18.
Choice A is incorrect and may result from evaluating the expression as . Choice B is incorrect and may result from evaluating the expression as
. Choice D is incorrect and may result from evaluating the expression as
.
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