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24 Oct 2018, 05:07
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D
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85% (01:25) correct
15%
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For all numbers x, the function h is defined by h(x) = 2x − 1, and the function g is defined by g(x) = (2x − 3)/5. If k is a positive number, what is the value of g(k)?
(1) h(k) = 7
(2) h(1) = k/4
(1) h(k) = 7
(2) h(1) = k/4
24 Oct 2018, 05:43
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Bunuel
Statement 1) tells us the h(k) = 7 from this we can find the value of k and can then substitute it in g(k) to find the value of g(k) so it is sufficient.
For the sake of showing how we get the value h(k) = 7 so this means \(2k - 1 = 7\) so \(2k = 8\) and k = 4
substitute k = 4 into g(4) = \(\frac{(2*4 - 3)}{5} = \frac{(8-3)}{5} = \frac{5}{5} = 1\)
Statement 2)
\(2-1 = \frac{k}{4}\) so k = 4 now substitute in g(4) we get the answer.
Answer choice D
24 Oct 2018, 08:28
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Question asks us to find g(k) = (2*k-3)/5. Hence, a statement is sufficient if you can find the value of k.
Stmt 1: h(k) = 2*k - 1 = 7 => k can be found, Hence sufficient, Eliminate B, C, E
Stmt 2: h(1) = 2*1 - 1 = k/4 => k can be found, Hence sufficient.
No Need to solve, since it a DS question. Answer is Option D.
Stmt 1: h(k) = 2*k - 1 = 7 => k can be found, Hence sufficient, Eliminate B, C, E
Stmt 2: h(1) = 2*1 - 1 = k/4 => k can be found, Hence sufficient.
No Need to solve, since it a DS question. Answer is Option D.
07 Oct 2022, 10:54
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Given that h(x) = 2x − 1 and g(x) = (2x − 3)/5 and we need to find the value of g(k)
Now, to answer this problem we need to find the value of k
STAT 1: h(k) = 7
=> h(k) = 2k − 1 = 7
=> 2k = 8
=> k = \(\frac{8}{2}\) = 4
=> g(k) = g(2) = (2*2 - 3)/5 = \(\frac{1}{5}\)
=> SUFFICIENT
STAT 2: h(1) = k/4
h(1) = 2*1 - 1 = 2-1 = 1 = k/4
=> k = 4
=> SUFFICIENT
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
Now, to answer this problem we need to find the value of k
STAT 1: h(k) = 7
=> h(k) = 2k − 1 = 7
=> 2k = 8
=> k = \(\frac{8}{2}\) = 4
=> g(k) = g(2) = (2*2 - 3)/5 = \(\frac{1}{5}\)
=> SUFFICIENT
STAT 2: h(1) = k/4
h(1) = 2*1 - 1 = 2-1 = 1 = k/4
=> k = 4
=> SUFFICIENT
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
