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Bunuel
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
\(3h(v) = 18\)
\(h(v) = 6\)
\(h(v)=\sqrt{v}+2=6\)
\(v=16\)
\(h(\frac{v}{4})\)
\(h(\frac{v}{4})=h(16/4)=\sqrt{\frac{16}{4}}+2=\sqrt{4}+2=2+2=4\)
imo, Option E.
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jfranciscocuencag
Hello GMATinsight!

Why should we have to equal f(x) with f(v)?

I was doing it as follows:

\(h(x) = \sqrt{x} + 2\)

\(h(v) = 18/3 = 6\)

\(h(\frac{6}{4}) = \frac{3}{2}\)

So

\(h(x) = \sqrt{\frac{3}{2}} + 2\)

And then the result would be:

\(\sqrt{6} + 4\)

I am confused =/

jfranciscocuencag

\(h(v) = 6\) does NOT mean \(v = 6\)

Highlighted part above is your mistake
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Bunuel
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

Since 3h(v) = 18, h(v) = 6. From the definition of the function h, we obtain:

h(v) = √v + 2 = 6.

Therefore, √v = 4 and v = 16. Now,

h(v/4) = h(16/4) = h(4) = √4 + 2 = 4.

Answer: E
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