Answer:
f(x) is defined for all real values of x, except when x2 – 8x + 12 = 0.
x2 – 8x + 12 = 0
x2 – 2x – 6x + 12 = 0
x(x – 2) – 6(x – 2) = 0
(x – 2)(x – 6) = 0
x – 2 = 0 or x – 6 = 0
x = 2 or 6
∴ Domain of f = R – {2, 6}
Answer:
f(x) is defined for all real values of x, except when x2 – 8x + 12 = 0.
x2 – 8x + 12 = 0
x2 – 2x – 6x + 12 = 0
x(x – 2) – 6(x – 2) = 0
(x – 2)(x – 6) = 0
x – 2 = 0 or x – 6 = 0
x = 2 or 6
∴ Domain of f = R – {2, 6}