Question

7.let g (×) = 5/×-4 find the domsin of g.

Answer 1

The function $g(x)$ is defined as,

$\longrightarrow g(x)=\dfrac{5}{x-4}$

We're asked to find its domain.

For the fraction the denominator should be non - zero.

Here the denominator of $g(x)$ can't be zero.

$\longrightarrow x-4\neq0$

Adding 4, we get,

$\longrightarrow x\neq4$

That is, $x$ can accept all real number values except $4.$

Hence the domain of $g(x)$ is $\mathbb{R}-\{4\}.$

$\longrightarrow\underline{\underline{x\in\mathbb{R}-\{4\}}}$