Question

find the domain of the function f(x)=x^2+2x+1/x^2-8x+12

Answer 1

Hello!

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 ≠ 6

Hence, the domain = R - {2,6}

Cheers!

Answer 2

Answer:

R-{2, 6}

Step-by-step explanation:

It can be seen that function f is defined for all real numbers except at x = 6 and x = 2. Hence, the domain of f is R – {2, 6}Read