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Find the Domain y=-25/3x+95

Problem

y=−25/(3*x+95)

Solution

  1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

  2. Set the denominator equal to zero to find the excluded values of x

3*x+95=0

  1. Solve for x by subtracting 95 from both sides.

3*x=−95

  1. Divide both sides by 3 to isolate x

x=−95/3

  1. State the domain. Since the function is undefined at x=−95/3 the domain consists of all real numbers except this value.

Final Answer

Domain: *{[x∈ℝ,x≠−95/3]}


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