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Question

If f(x)=⎪ ⎪⎪ ⎪x2, when x<0x, when 0x<11x, when x>1
Find: (i) f(12)
(ii) f(2)
(iii) f(1)
(iv) f(3)
(v) f(3)


Solution

We have,
f(x)=⎪ ⎪⎪ ⎪x2, when x<0x, when 0x<11x, when x>1
(i) f(12)=12
(ii) f(2)=(2)2=4
(iii) f(1)=11=1
(iv) f(3)=13
(v) f(3)= does not exist because 3ϵ domain (f).

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