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The function f is defined by f (x) =√x − 20 for all positive numbers x

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The function f is defined by f (x) =√x − 20 for all positive numbers x  [#permalink]

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New post 01 Oct 2018, 22:01
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:14) correct 18% (01:41) wrong based on 84 sessions

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Re: The function f is defined by f (x) =√x − 20 for all positive numbers x  [#permalink]

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New post 01 Oct 2018, 22:13
Bunuel wrote:
The function f is defined by f (x) =√x − 20 for all positive numbers x. If p = 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


\(f(q)=√q-20=p.............√q=p+20.......q=(p+20)^2\)...A

OR

Take p=1, so √q-20=1.....q=(20+1)^2
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Only A matches
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Re: The function f is defined by f (x) =√x − 20 for all positive numbers x  [#permalink]

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New post 26 May 2020, 05:02
chetan2u Hi

How did you get from √q−20=p to √q=p+20 since we cannot separate the root?

Thank you
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Re: The function f is defined by f (x) =√x − 20 for all positive numbers x  [#permalink]

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New post 30 May 2020, 13:34
Bunuel wrote:
The function f is defined by f (x) =√x − 20 for all positive numbers x. If p = 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


Simplifying, we have:

√q − 20 = p

√q = p + 20

q = (p + 20)^2

Answer: A
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Re: The function f is defined by f (x) =√x − 20 for all positive numbers x   [#permalink] 30 May 2020, 13:34

The function f is defined by f (x) =√x − 20 for all positive numbers x

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