mitchconnor said:Find the domain of the real valued function:
f(x)=x−10−−−−−√x2+9x+8=x−10−−−−−√(x+8)(x+1)
Why does the x2+9x+8 become (x+8)(x+1)?
Thanks for the help!
The domain of a function is the set of all possible input values (or independent variables) for the function. In other words, it is the set of values that the function can take.
To find the domain of a function algebraically, you need to look for any value of the independent variable that would make the function undefined. This includes values that would result in division by zero, taking the square root of a negative number, or any other operation that is not defined for certain values. You may also need to consider any restrictions given in the problem, such as a specific range of values for the independent variable.
Yes, the domain of a function can include negative numbers. The domain can be any set of real numbers, including positive, negative, and zero values.
If the domain of a function is all real numbers, it means that there are no restrictions on the possible input values for the function. In other words, the function is defined for all real numbers.
Yes, the domain of a function can be an infinite set, such as all positive numbers or all negative numbers. This means that the function is defined for an infinite number of input values.