Question

write domain of the function f(x)=x^2/x^2-8x+12​

Answer 1

Answer:

$f(x) = x² + 2x + 1 / x² - 8x + 12= (x + 1)² / x² - 2x - 6x + 12= (x + 1)² / x.(x - 2) - 6.(x - 2)= (x + 1)² / (x - 2).(x - 6)In real numbers, denominator can't be zero.Then,(x - 2).(x - 6) ≠ 0∴ x ≠ 2 and x ≠ 6Hence, the domain = R - {2,6}$

Step-by-step explanation:

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