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ycow [4]
3 years ago
14

If f(x + 1) = x² - 1 and g(x + 1) = x² + 1, find f(x) + g(x).

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

Given f(x)=(1−x)21 and g(x)=ln(x)

gof(x)

=g(f(x))

=ln(1−x)1/2

=21ln(1−x)

∴ For the composite function to be defined 1−x>0

x<1

∴ Domain is (−∞,1)

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3.) 9, 9, 9, 7, 5  [Number of arrangements = 5! / 3! = 120 / 6 = 20]
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5.) 9, 9, 8, 8, 5  [Number of arrangements = 5! / (2! x 2!) = 120 / 4 = 30]
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9.) 9, 8, 8, 7, 7  [Number of arrangements = 5! / (2! x 2!) = 120 / 4 = 30]
10.) 8, 8, 8, 8, 7  [Number of arrangements = 5! / 4! = 120 / 24 = 5]

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