The domain of the function f: R → R defined by f(x) = √x2 - 7x + 12 is

Question

The domain of the function f: R → R defined by f(x) = √x2 - 7x + 12 is (A) ( - ∞ , 3) ∩ ( 4, ∞) (B) ( - ∞ , 3) ∪ ( 4, ∞) (C) (3, 4) (D) ( ∞ , 3) ∩ (4, ∞)

Tardigrade Admin · Accepted Answer

f :R→ R f(x)=√x2-7x+12 x2-7x+12 ge0 (x-4)(x-3) ge0 ⇒ x ∈(-∞, 3 ] ∪[4, ∞)

Q. The domain of the function f : R $\to$ R defined by $f (x) = x^{2} - 7 x + 12$ is

$(- \infty, 3) \cap (4, \infty)$

$(- \infty, 3) \cup (4, \infty)$

(3, 4)

$(\infty, 3) \cap (4, \infty)$

$f : R \to R$
$f (x) = x^{2} - 7 x + 12$
$x^{2} - 7 x + 12 \geq 0$
$(x - 4) (x - 3) \geq 0$
$\Rightarrow x \in (- \infty, 3] \cup [4, \infty)$

Q. The domain of the function f : R → R defined by f(x)=x2−7x+12​ is

(−∞,3)∩(4,∞)

(−∞,3)∪(4,∞)