Question

find the domain and range of the following real functions?
a)f(x)=rootx^2-6x+8
b)f(x)=1/root x^2+4x+3​

Answer 1

Answer:

It is a polynomial function, its domain is all real numbers. In interval notation this can be expressed as (−∞,+∞)

For finding its range, we can solve the equation y= x2−6x+8 for x first as follows:

y=(x−3)2−1,

(x−3)2=y+1

x-3= ±√y+1

x= 3±√y+1. It is obvious from this that y≥−1

Hence range is y≥−1. In interval notation this can be expressed as[−1,+∞)

Step-by-step explanation:

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