Question

If the function f:R→R is defined by : f(x)={√x−1    if  x≥12              if  x<1 Find the value of f(0).

A
\N
B
1
C
2
D
-1

Solution

The correct option is C 2Given, f(x)={√x−1    if  x≥12              if  x<1 For a given value of x = a, find out the interval at which the point a is located, there after find f (a) using the particular value defined in that interval. Here, 0 lies in the 2nd interval. So for x = 0, f(x)=2 ∴f(0)=2

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