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Question -

If
 
Find:
(i) f (1/2)
(ii) f (-2)
(iii) f (1)
(iv) f (√3)
(v) f (√-3)



Answer -

(i) f(1/2)

When, 0 ≤ x ≤ 1, f(x) = x

f (1/2) = ½

(ii) f(-2)

When, x < 0, f(x) = x2

f (–2) = (–2)2

= 4

 f(–2) = 4

(iii) f(1)

When, x ≥ 1, f (x) = 1/x

f (1) = 1/1

 f(1)= 1

(iv) f(√3)

We have √3 = 1.732 > 1

When, x ≥ 1, f (x) = 1/x

f (√3) = 1/√3

(v) f(√-3)

We know √-3 is not a real number and the function f(x) isdefined only when x  R.

 f(√-3) does not exist.

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