The formula S= (n-2) 180 gives the sum of the measures of the angles of n-sided polygon where n is the input and S is the output. 1. Solve the formula for n so that S becomes the input and n becomes the output. Solution: 2. Write the formula in (a) as the inverse function of f(x) = (x-2) 180. Solution: 3. Verify is the two functions are inverse functions. Solution:

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The formula S= (n-2) 180 gives the sum of the measures of the angles of n-sided

polygon where n is the input and S is the output.

1. Solve the formula for n so that S becomes the input and n becomes the output.

Solution:

2. Write the formula in (a) as the inverse function of f(x) = (x-2) 180.

Solution:

3. Verify is the two functions are inverse functions.

Solution:

4. Determine the domain and range of the function and its inverse.

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