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A function is defined for all positive numbers x as f(x)= a

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A function is defined for all positive numbers x as f(x)= a [#permalink] New post 15 May 2019, 05:21
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A function is defined for all positive numbers x as \(f(x)= a\sqrt{x} +b\). What is the value of f(3), if f(4) – f(1) = 2 and f(4) + f(1) = 10?

A. \(1\)

B. \(2\)

C. \(2 \sqrt{3}\)

D. \(2\sqrt{3} + 2\)

E. \(2 \sqrt{3} -2\)
[Reveal] Spoiler: OA

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Founder
Founder
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Joined: 18 Apr 2015
Posts: 11158
Followers: 237

Kudos [?]: 2785 [0], given: 10592

CAT Tests
Re: A function is defined for all positive numbers x as f(x)= a [#permalink] New post 17 Apr 2020, 04:13
Expert's post
solve for expressions
we get a=2and b =2
so for f(3) = 2√3+ 2

D is the answer
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Re: A function is defined for all positive numbers x as f(x)= a   [#permalink] 17 Apr 2020, 04:13
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A function is defined for all positive numbers x as f(x)= a

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