Question

find the domain and range of the function f(x)=x2-x+1/x2+x+1

Answer 1

Answer:







How do you find the domain and range of f(x)=11+x2?

Algebra  Domain and Range of a Function

1 Answer



Narad T.

Apr 6, 2018

The domain is x∈R. The range is y∈(0,1]

Explanation:

The denominator is =1+x2

∀x∈R, 1+x2>0

Therefore,

The domain of f(x) is x∈R

To determine the range, proceed as follows

y=11+x2

y(1+x2)=1

y+yx2=1

yx2=1−y

x2=1−yy

x=√1−yy

The range of f(x) is the domain of x

(1−yy)>0

y∈R*+

1−y≥0

Answer 2

Step-by-step explanation:

kindly check the attachment,I hope u understand thank you