Find the domain of the given rational function: x^2 - 9x + 8/x^2 + 6x - 16 a) (-

Question

Find the domain of the given rational function: x^2 - 9x + 8/x^2 + 6x - 16 a) (-infinity, -8) Union (-8, -2) Union (-2, infinity) b) (-infinity, 2) Union (2, 8) Union (8, infinity) c) (-infinity, -8) Union (-8, 2) Union (2, infinity) d) (-infinity, -2) Union (-2, 8) Union (8, infinity) Find the domain of the given rational function: x^2 - 6x + 9/x^2 - 9 a) (-infinity, -3) Union (-3, 3) Union (3, infinity) b) (-infinity, -8) Union (-8, 1) Union (1, infinity) c) (-infinity, -9) Union (-9, 9) Union (9, infinity) d) (-infinity, -1) Union (-1, 8) Union (8, infinity) The sum of the reciprocal of a number and 3/8 is 7/8. Find the number. a) 4 b) 3 c) 2 d) 1 The product of the reciprocal of a number and 3/8 is 5/8. Find the number as a decimal a) 0.375 b) 0.600 c) 0.625 d) 0.875

Explanation / Answer

55) f(x) = (x^2 - 9x+8)/(x^2 +6x -16)

For Domain find points where denominator is zero

Except thees points domain of f(x) includes all real

x^2 + 6x -16 = x^2 + 8x -2x -16 = (x+8)(x-2)

So, Domain : ( -inf , -8) U (-8 , 2) U ( 2, inf)

Option c

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