What is the domain and range of f(x) = 1/(1 + sqrtx)

Uriel Hartman

Uriel Hartman

Answered question

2022-11-12

What is the domain and range of f ( x ) = 1 1 + x ?

Answer & Explanation

mangoslush27fig

mangoslush27fig

Beginner2022-11-13Added 15 answers

What's under the square root sign is 0
Therefore,
x 0
So , the domain is x [ 0 , + )
To calculate the range, proceed as follows :
Let y = 1 1 + x
When x = 0 , , y = 1
And
lim + 1 1 + x = 0 +
Therefore the range is (0,1]
graph{ 1 / ( 1 + x ) [ 2.145 , 11.9 , 3.52 , 3.5 ]}

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