Concept explainers
To find Range:
For this first we find inverse of h.
Squaring
We get
Hence for any value of h(x) we get x as real.
But by definition of h(x) as positive square root of x+1
Range = [0,infinity)
Conclusion:
For the given function h(x) domain and range are as follows:
Domain: [-1,infinity)
Range = [0,infinity)
- To find:
Domain and range of the function k(x)
To Find:
Domain
The function k(x) has real values for all value of x greater than or equal to 0.
Hence domain = : [0,infinity)
To find Range:
For this first we find inverse of k.
Add 1 to both the sides and then
Taking square root for
We get for real x, k(x) +1 must be positive.
i.e. k(x)
Range = [-1,infinity)
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