Question

Identify the domain of the expression:6x^2 - 13x - 5/ x + 7

Answer 1

The domain of a function are all the numbers that can go into the function. In this case we have the given function:

`(6x^2-13x-5)/(x+7)`

When you have a function with a variable in the denominator, you have to set the bottom equal to zero and then exclude the x-values you find when you solve the equation:

`\begin{gathered} x+7=0 \\ \text{subtract 7 from both sides} \\ x+7-7=0-7 \\ x=-7 \end{gathered}`

Thus, the domain is all real numbers except -7 (option c)