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Chapter 1: Problem 59

Find the domain of the function. $$h(t)=\frac{4}{t}$$

Short Answer

Expert verified
The domain is all real numbers except zero, which is \( t \neq 0 \), or in interval notation, \( (-\infty, 0) \cup (0, \infty) \).

Step by step solution

01

Identify where the denominator equals zero

In this function, \( t \) must not be equal to zero to keep the denominator defined. Thus, we should calculate where \( t=0 \). In this function, \( t \) is the only variable in the denominator.
02

Exclude value(s) from the domain

The point where denominator is zero, \( t=0 \), must be excluded from the domain. Thus, all real numbers except zero can be used as input into the function.
03

Declare the Domain

The domain of this function are all real numbers except zero. We can write this as \( t \neq 0 \), or in interval notation as \( (-\infty, 0) \cup (0, \infty) \).

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Most popular questions from this chapter

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