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Q.

If f : R→ R, defined by f (x) = x3 + 7, then the value of f –1(71) and f –1 (–1) respectively are

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a

4, ∅

b

∅ , -2

c

4,-2

d

2,-4

answer is C.

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Detailed Solution

f (x) = x3+ 7 = 71 ⇒ x3 = 64 ⇒ x = 4⇒ f-1(71)=4and f(x)=x3+7=–1⇒x3=–8⇒x=–2⇒f-1(–1)=–2

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