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Let the function h be defined by h(x)= x +2. If 3h(v) = 18,
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14 May 2019, 08:32
14 May 2019, 08:32
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Let the function h be defined by \(h(x)= \sqrt{x}+2\). If \(3h(v) = 18\), then which one of the following is the value of \(h (\frac{v}{4})\)
(A) –4
(B) –1
(C) 0
(D) 2
(E) 4
(A) –4
(B) –1
(C) 0
(D) 2
(E) 4
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GMAT 1: 770 Q51 V44
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Re: Let the function h be defined by h(x)= x +2. If 3h(v) = 18,
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14 May 2019, 13:29
14 May 2019, 13:29
1
Expert Reply
If provided algebra on the GRE, first look to solve algebraically. In this case using the formula: h(x)=√x+2.
Since provided the information that 3h(v) = 18 ÷ the equation by 3 to determine that h(v) = 6.
Then, replace h(v) with √v+2 = 6 and subtract 2 from each side to find that √v= 4, before squaring the equation to find that v = 16.
Finally, use that value for v to find v/4 = 4 and plug 4 into h(x)=√x+2 to find that √4+2 = 4, which matches choice E.
Since provided the information that 3h(v) = 18 ÷ the equation by 3 to determine that h(v) = 6.
Then, replace h(v) with √v+2 = 6 and subtract 2 from each side to find that √v= 4, before squaring the equation to find that v = 16.
Finally, use that value for v to find v/4 = 4 and plug 4 into h(x)=√x+2 to find that √4+2 = 4, which matches choice E.
Re: Let the function h be defined by h(x)= x +2. If 3h(v) = 18,
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06 Dec 2024, 04:25
06 Dec 2024, 04:25
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