Question

State the domain of each function using interval notation.pls show work!!

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here we go ~

Every value of x, for which y is defined and has a finite value is called domain of a function.

The given function is :

`\qquad \sf  \dashrightarrow \: \cfrac{7x + 4}{13 - x}`

The value of x for which denominator isn't equal to zero are all included in domain of this function,

So,

`\qquad \sf  \dashrightarrow \: 13 - x \\e0`

`\qquad \sf  \dashrightarrow \: - x \\e - 13`

`\qquad \sf  \dashrightarrow \: x \\e13`

Domain of given function :

`\qquad \sf  \dashrightarrow \: D \in \: R - \{13\}`