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3 years ago

Help?

Mathematics

1 answer:

fgiga [73]3 years ago

6 0

The question is:

19. if g(x) = 3 + x + e^x, find the inverse function of g (4).

Solution:

1) Put the equation as y = 3 + x + e^x

2) Solve for x = > x + e^x = y - 3

3) switch x and y => y + e^y = x - 3

4) y is the inverse

5) find y for the value requested (x = 4)

=> y + e^y = 4 - 3

=> y + e^y = 1

the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.

Answer: 0.

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3 years ago

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3 years ago

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[See Below]

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And so we know the fractions in the missing boxes must add up to $1 - \frac{1}{3} = \frac{2}{3}$ .

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(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)

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4 years ago