  GRAPHS AND FUNCTIONSDomain of a rational function: Interval notationThe functionsfand g are defined as follows.x+ 4f(x)=2.x-162g (x)For each function, find the domain.Write each answer as an interval or union of intervals.Domain of f|||(O) (0.ODOUODomain of g : ||?X

Question

See attached help_outlineImage TranscriptioncloseGRAPHS AND FUNCTIONS Domain of a rational function: Interval notation The functionsfand g are defined as follows. x+ 4 f(x) = 2. x-16 2 g (x) For each function, find the domain. Write each answer as an interval or union of intervals. Domain of f ||| (O) (0 .OD OUO Domain of g : || ? X fullscreen
Step 1

The domain of the function is set of all possible values of x where the function is defined.

Step 2

Find the domain of t... help_outlineImage Transcriptionclosex + 4 Find the domain of J (X)x2-16 Find the points which the function is undefined or singular points Equate the denominator to zero. x2-16 0 (x+4)(x-4) 0 x=-4,4 The function is undefined at x--4 and 4 Therefore, the domain of the function is x-4 or -4 4 Activate W (0,-4)(-4,4)J(4,0) That is, the interval notation Go to Settings fullscreen

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