RTCNTC said:Find the domain.
t^(-1) + 2t^(-2)
Let me see if I get it.
1/t + 2/t^(2)
Let D = domain
D = t is all real numbers except for 0.
The domain of a function shows all possible input values or independent variables that can be used to generate an output. It helps in understanding the behavior and limitations of a function.
To determine the domain of a function, you need to look at the input values or independent variables that are allowed in the function. This can be done by identifying any restrictions or limitations on the input values, such as square roots, logarithms, or fractions with denominators that cannot be equal to zero.
If the domain of a function is not specified, it is assumed to be all real numbers. This means that any input value can be used to generate an output. However, in some cases, the domain may need to be restricted to avoid undefined or imaginary outputs.
No, a function can only have one domain. The domain is a set of input values that correspond to a unique output. If there are multiple domains, then the function would not be well-defined and would not meet the definition of a function.
The domain of a function is related to its graph in that the x-values on the graph represent the input values or domain of the function. The y-values on the graph represent the output values or range of the function. By identifying the domain, you can determine which portion of the graph is relevant to the function and the behavior of the function in that region.