Question

Find the domain of the given function. f(x) = square root of quantity x plus six divided by quantity x plus seven times quantity x minus nine.

Answer 1

I just took the test and the answer is x ≠ -7, x ≠ -6, x ≠ 9

Answer 2

For this case we have the following function:

`\sqrt{ (x+6)/(x + 7(x-9))}`
Rewriting the function we have:

`\sqrt{ (x+6)/(x + 7x - 63)}`

`\sqrt{ (x+6)/(8x - 63)}`
Separating the roots we have:

}} [/tex]
Then, the domain of the function is given by:

`x+6 \geq 0 x \geq -6`
And:

`8x \ \textgreater \ 63`
Answer:

`x+6 \geq 0 x \geq -6`
or

`8x \ \textgreater \ 63`