AP ICET 2015 Paper

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Question : 117 of 200

Marks: +1, -0

Let Q be the set of all rational numbers and

f : Q \to Q

be a function defined

f(x)={3x-1}/{10}

for all

x∊Q

.Then

f^{-1}(5)=

17
51
$7/5$
does not exist

Solution:

Given :

f(x)={3x-1}/10

Let

f^{-1}(5)=k

⇒f(k)=5

⇒\;\;{3k-1}/{10}=5

⇒3k=51

⇒k=17

⇒f^{-1}(5)=17

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