Question for-th
For the function f defined above, what is the value of 
?
7
11
For the function f defined above, what is the value of ?
Hard-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. Substituting 
for x in the given function f gives 
, which simplifies to 
. This further simplifies to 
, or 
.
Choice A is incorrect and may result from correctly substituting for x in the function but incorrectly simplifying the resulting expression to 
, or . Choice B is incorrect and may result from arithmetic errors. Choice D is incorrect and may result from correctly substituting for x in the function but incorrectly simplifying the expression to 
, or 11.
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