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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]  15 May 2019, 05:21
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Question Stats:

100% (01:08) correct 0% (00:00) wrong based on 9 sessions
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
Joined: 18 Apr 2015
Posts: 11158
Followers: 237

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

Re: A function is defined for all positive numbers x as f(x)= a [#permalink]  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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