How do you find the range of f(x)=√((x^2)-4)?

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Answer 1 · 2018-02-24T21:14:44

Find the domain first , then go for the range of #f(x)#

#f(x) = sqrt(x^2-4)#

Domain of #f(x)# : #x^2-4>=0#

#rArr(x-2)(x+2) >= 0#

#rArr D_f : x ∈ (-∞,-2] ∪ [2,∞)#

Now,

find the values of #f(x)# corresponding to #x= -∞,-2,2,∞#

#:.# The #R_f : f(x) ∈ [0,∞)#

This is the graph of the function :-

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