The function f is defined by f „(x) =… √x - 20 for all positive numbers x. If p ƒ= f (q) for some positive numbers q and p, what is q in terms of p?
(A) (p +‚ 20)^2
(B) √(p + 20‚)
(C) (√p + 20)^2
(D) √(p^2 +‚ 20)
(E) (p^2 +‚ 20)^2
OA A
Pl. help me out with this question,
The function f is defined by
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„f(x)… ƒ= √x - 20jack0997 wrote:The function f is defined by f „(x) =… √x - 20 for all positive numbers x. If p ƒ= f (q) for some positive numbers q and p, what is q in terms of p?
(A) (p +‚ 20)^2
(B) √(p + 20‚)
(C) (√p + 20)^2
(D) √(p^2 +‚ 20)
(E) (p^2 +‚ 20)^2
OA A
Pl. help me out with this question,
=> f(q) = √q - 20
p = √q - 20
=> √q = p + 20
Squaring both sides, we have:
=> q =[spoiler] (p + 20)^2[/spoiler]
The correct answer: A
Hope this helps!
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Hi jack0997,
This question can be solved by TESTing VALUES.
Based on the information in the prompt, my initial thought would be to TEST Q=400....
f(400) = 20 - 20 = 0 and that would give us P=0.
This is a problem for a couple of reasons: First, 0 is NOT positive - and we're told that P and Q have to be positive. Second, you'll notice that three of the answers (A, C and E) would all end in a 400 when you plug in P=0 (and there can't be three correct answers here). Thus, we have to look for a different 'round number' for Q, but one that's bigger than 20.
Let's TEST Q = 900
f(900) = 30 - 20 = 10, so we're looking for an answer that equals 900 when we plug in P=10. You'll find that only one answer matches...
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing VALUES.
Based on the information in the prompt, my initial thought would be to TEST Q=400....
f(400) = 20 - 20 = 0 and that would give us P=0.
This is a problem for a couple of reasons: First, 0 is NOT positive - and we're told that P and Q have to be positive. Second, you'll notice that three of the answers (A, C and E) would all end in a 400 when you plug in P=0 (and there can't be three correct answers here). Thus, we have to look for a different 'round number' for Q, but one that's bigger than 20.
Let's TEST Q = 900
f(900) = 30 - 20 = 10, so we're looking for an answer that equals 900 when we plug in P=10. You'll find that only one answer matches...
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
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