Question for-th
For the function f, if 
for all values of x, what is the value of 
?
0
2
For the function f , if for all values of x , what is the value
Hard-difficulty · SAT Math · Linear Functions — Graphs in slope-intercept, point-slope, standard form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. It’s given that for all values of x. If 
, then 
will equal . Dividing both sides of by 3 gives 
. Therefore, substituting 2 for x in the given equation yields 
, which can be rewritten as 
.
Choice A is incorrect. This is the value of the constant in the given equation for f. Choice C is incorrect and may result from substituting 
, rather than , into the given equation. Choice D is incorrect. This is the value of x that yields for the left-hand side of the given equation; it’s not the value of .
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