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Question

Find domain and range of
F (X)=1/✓(x-5)

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Solution

f(x)=1/√x-5
√x-5≥0
=>x-5≥0 =>x≥5
Domain=[5,∞)

y= 1/ √x-5
y^2=1/x-5
Since the values of y are all greater than zero, Range =(0,∞)


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