What is the domain and range of f(x)=ln(10−x)?

1 Answer
bp · MathFact-orials.blogspot.com
Apr 2, 2017

Domain (−∞,10) Range (−∞,∞)

Explanation:

Since Ln of a negative number has no meaning, the maximum value that x can have is any number less than 10. At x=10, the function becomes undefined. and the minimum value can be any negative number up to −∞. At x=10 there would be a vertical asymptote.

Hence domain would be (−∞,10)

The range would be (−∞,∞)

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