Question if-wha
2.1 Nonlinear Functions - Function composition and evaluation
0:00
If , what is
?
A.
–5
B.
–2
C.
2
D.
5
If , what is ?
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 A is correct. Substituting –1 for x in the equation that defines f gives . Simplifying the expressions in the numerator and denominator yields
, which is equal to
or –5.
Choices B, C, and D are incorrect and may result from misapplying the order of operations when substituting –1 for x.
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