Find the domain of the function f(x)= x-1/x^2+5x-14

Mike Meyers asked Nov 19, 2023

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19 votes

Mike Meyers asked Nov 19, 2023

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15 votes

f(x) = x - 1 /(x^2 + 5x - 14

- Factor the denominator

x^2 + 5x - 14 = (x + 7)(x - 2)

- Find the solutions

x + 7 = 0 x - 2 = 0

x = - 7 x = 2

Domain = Real numbers - {-7, 2}

Willpnw answered Nov 24, 2023

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