Question

For what values is x defined? f(x) = 10 x^2 + 100 ln(5-x)

For what values is x defined?

f(x) = 10 x^2 + 100 ln(5-x)

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Answer #1

The function is

We note that is well defined for all real values of and that is well defined if and only if

Therefore, is well defined if and only if which is equivalent to

That is, our function is well defined for the values

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