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How do you find the domain of functions algebraically?
ex (3x-1)/(x+3)(x-1)
ex (3x-1)/(x+3)(x-1)
The domain of a function is the set of all possible input values for the function. It is the set of values for which the function is defined.
To find the domain of a precalculus function algebraically, you need to consider any restrictions on the input values. These restrictions can include square roots, fractions, and logarithms. You must also consider any values that would result in division by zero or taking the square root of a negative number.
Yes, the domain of a function can be infinite if there are no restrictions on the input values. This is often the case with polynomial functions or exponential functions.
When dealing with absolute value functions, you need to consider two cases: when the absolute value is positive and when it is negative. In the positive case, the domain will be all real numbers. In the negative case, the domain will be all real numbers except for the values that would result in taking the square root of a negative number.
Yes, the domain of a function can change depending on the restrictions on the input values. For example, if a function has a fraction and the denominator cannot be zero, the domain will change to exclude the value that would result in division by zero.