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

1 Answer
Feb 24, 2018

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

Explanation:

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 :-

GeoGebra Classic app