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Find the Domain y=0.48 natural log of x+1+27

Problem

y=0.48*ln(x+1)+27

Solution

  1. Identify the restriction for the natural logarithm function. The argument of a logarithm must be strictly greater than zero.

  2. Set up the inequality for the argument of the natural log in the given function.

x+1>0

  1. Solve the inequality for x by subtracting 1 from both sides.

x>−1

  1. Express the domain in interval notation based on the inequality.

Domain:(−1,∞)

Final Answer

Domain:{[x∈ℝ,x>−1]}


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