1.

Find the range of the following functions   f(x) = x2+ 2

Answer»

Given, f(x) = x2 + 2 

Let y = f (x)

y =  x2+ 2 

x2 = y – 2 

x = \(\sqrt{y-2}\) 

Clearly, x will take real values, if 

Y – 2 ≥ 0 Y ≥ 2 

Range of y = [2, ∞)



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