The maximal domain of f(x) = √(x^2 - 4) is:

x^2 - 4 ≥ 0 ⇔ x ≤ -2 or x ≥ 2. Domain: (-∞, -2] ∪ [2, +∞).

Daily Math Problems — July 1, 2026: Linear Function, Elementary Functions, Financial Mathematics

Problems & worked solutions

RO M1

The solution of $3 x + 5 = 14$ is:

Show answer & worked solution

$3 x = 14 - 5 = 9 \Rightarrow x = 3$ .

RO M1

The maximal domain of $f (x) = \sqrt{x^{2} - 4}$ is:

Show answer & worked solution

$x^{2} - 4 \geq 0 \Leftrightarrow x \leq - 2$ or $x \geq 2$ . Domain: $(- \infty, - 2] \cup [2, + \infty)$ .

RO M1

A bank advertises $12 %$ annual rate compounded monthly. The effective annual rate is closest to:

Show answer & worked solution

$⁣ {(1 + \frac{0.12}{12})}^{12} - 1 = {1.01}^{12} - 1 \approx 1.1268 - 1 = 0.1268 \approx 12.68 %$ .

Problems & worked solutions

RO M1

The solution of $3 x + 5 = 14$ is:

Show answer & worked solution

$3 x = 14 - 5 = 9 \Rightarrow x = 3$ .

RO M1

The maximal domain of $f (x) = \sqrt{x^{2} - 4}$ is:

Show answer & worked solution

$x^{2} - 4 \geq 0 \Leftrightarrow x \leq - 2$ or $x \geq 2$ . Domain: $(- \infty, - 2] \cup [2, + \infty)$ .

RO M1

A bank advertises $12 %$ annual rate compounded monthly. The effective annual rate is closest to:

Show answer & worked solution

$⁣ {(1 + \frac{0.12}{12})}^{12} - 1 = {1.01}^{12} - 1 \approx 1.1268 - 1 = 0.1268 \approx 12.68 %$ .