If F(x) = (2x -3/3x+4) Then F-1 ((-4/3)) = - Tardigrade

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4. If f(x) = (2x -3/3x+4) then f-1 ((-4/3)) =

Q. If f(x)=3x+42x−3​ then f−1(3−4​)= 3213 237 COMEDKCOMEDK 2014Relations and Functions - Part 2 Report Error A

Zero

29% B

43​

26% C

3−2​

17% D

Noneofthese

28%

Solution:

f(x)=3x−42x−3​ Let f(x)=y=3x+42x−3​ On Cross multiplication, we get ⇒3xy+4y=2x−3 ⇒x(3y−2)=−3−4y ⇒x=3y−2−3−4y​ ⇒x−f−1(y)=3y−2−3−4y​ Put y=−34​ we get f−1(−34​)=3(−34​)−2−3−4×(−34​)​ =−4−2−3+316​​=3×(−6)7​=−187​