Concept explainers
To find: The domain of a function in interval notation.
The interval (−∞,∞) is the domain of the function f(t)=t+5t2+1 .
Given information: The function is f(t)=t+5t2+1 .
Method/Formula used:
Suppose y=f(x) be a function f:A→B , x∈A,y∈B the set A is called the domain of function f and set B the co-domain. Thus, the domain of a function f(x) are the values of x for which the function f(x) is defined.
Calculation:
The given function is f(t)=t+5t2+1 .
The function f(t)=t+5t2+1 is not defined when t2+1=0 or t=√−1 , i.e., when t is imaginary number. That shows, the function f(t)=t+5t2+1 is defined when t is a real number, i.e., when t∈(−∞,∞) . Therefore, the interval (−∞,∞) is the domain of the function f(t)=t+5t2+1 .
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-W/ACCESS
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