Question

Relacione corretamente a função a seu domínio, considerando o universo dos números reais:​

Answer 1

Não podemos ter o numerador sendo 0.

item a)

$\displaystyle \text y = \frac{\text x+4}{\text x+3} \\\\ \text x+3 \neq 0 \\\\ \text x \neq -3 \\\\ \huge\boxed{\text{D(f)} = \mathbb{R} - \{-3\}}\checkmark$

item b)

$\displaystyle \text{f(x)} = \frac{1}{\text x-3} \\\\ \text x-3 \neq 0 \\\\ \text x \neq 3 \\\\ \huge\boxed{\text{D(f)} = \{ \text x \in \mathbb{R}\ | \ \text x \neq 3\ \} }\checkmark$

item c)

$\displaystyle \text{f(x)} = \frac{\text x}{3} \\\\ \huge\boxed{\text{D(f)} = \mathbb{R}\ }\checkmark$

item d)

$\displaystyle \text{f(x)} = \frac{10}{\text x } \\\\ \huge\boxed{\text{D(f)} = \mathbb{R}^{*}\ }\checkmark$