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Katena32 [7]
3 years ago
8

Factor completely 12n^3 + 15n^2 + 4n + 5

Mathematics
1 answer:
inessss [21]3 years ago
6 0
The answer is 70n +5
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If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
agasfer [191]

Answer:

  • g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>
  • h(x) = (f ο g)(x)
  • h(x) = \sqrt{x+5}
  • f(x) = \sqrt{x+2}
<h3>To find</h3>
  • g(x)
<h3>Solution</h3>

<u>We know that:</u>

  • (f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

  • \sqrt{x+5} = \sqrt{g(x)+2}
  • x + 5 = g(x) + 2
  • x + 3 = g(x)
  • g(x) = x + 3
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