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1-40.

State the domain for each of the functions below. Homework Help ✎

  1. is excluded from the denominator of a fraction because division by 0 would make the fraction undefined. What value of , if any, would make the denominator ?

  1. Consider the domain of each part of the subtraction problem separately.

     has a domain of  while  has a domain of .

    Since  is the difference between  and , both excluded values must be excluded from .

  1. Typically, a square root function has a domain of , but in this case, is squared... meaning both positive or negative values will yield positive outputs. However, do not neglect to consider the . What values of , both positive and negative, will make ?

  1. Consider the domain of the numerator and the domain of the denominator separately.

    1. What is the domain of ?

    1. What is the domain of ?

    1. What value is excluded from the denominator of all fractions?

    1. Now combine these results to find the domain of .