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If h(x) = |3x| + 2 and g(x) = x2 – 7 and g(m) = 29, what is
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30 Jul 2018, 09:55
30 Jul 2018, 09:55
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Question Stats:
96% (00:48) correct
4% (03:16) wrong based on 25 sessions
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If \(h(x) = |3x| + 2\) and \(g(x) = x^2 - 7\) and \(g(m) = 29\), what is the value of \(h(m)\)?
Show: :: OA
20
Re: If h(x) = |3x| + 2 and g(x) = x2 – 7 and g(m) = 29, what is
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02 Aug 2018, 06:41
02 Aug 2018, 06:41
Expert Reply
Explanation
The problem introduces two functions as well as the fact that g(m) = 29. First, solve for m:
\(g(m) = m^2 - 7 = 29\)
\(m^2 = 36\)
\(m = 6\) or \(-6\)
The question asks for h(m):
\(h(6) = |3 \times 6| + 2 = |18| + 2 = 18 + 2 = 20\)
\(h(-6) = |3 \times -6| + 2 = |-18| + 2 = 18 + 2 = 20\)
The answer is 20 for either value of m.
The problem introduces two functions as well as the fact that g(m) = 29. First, solve for m:
\(g(m) = m^2 - 7 = 29\)
\(m^2 = 36\)
\(m = 6\) or \(-6\)
The question asks for h(m):
\(h(6) = |3 \times 6| + 2 = |18| + 2 = 18 + 2 = 20\)
\(h(-6) = |3 \times -6| + 2 = |-18| + 2 = 18 + 2 = 20\)
The answer is 20 for either value of m.
Re: If h(x) = |3x| + 2 and g(x) = x2 7 and g(m) = 29, what is
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18 Dec 2022, 13:22
18 Dec 2022, 13:22
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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