Question

(where a, b, rare CristalILS 68. A funciton f:R → Ris defined as f(x) = 3x2 +1. Then f(x) dx-1 x-1 (c) f-1 does not exist

SSC CGL

Maths

Solution

4.0 (1 ratings)

( f=F(x)=3 x^{2}+1 ) ( Rightarrow y=3 x^{2}+1 ) ( Rightarrow y-1=3 x^{2} ) ( Rightarrow x^{2}=frac{y-1}{3} ) ( Rightarrow x=sqrt{frac{y-1}{3}}=f^{-1}(x)=sqrt{frac{y-1}{3}} ) Replaeing at ( y=x ) we get in of ( f(x)} ) ie ( f^{-1}(x)=sqrt{frac{x-1}{3}}, 0 )