Questions
a
f−1(x)=(x+1)1/3,x<2(x−3)1/2,x≥2
b
f−1(x)=(x+1)1/3,x<7(x−3)1/2,x≥7
c
f−1(x)=(x+1)1/3,x<1(x−3)1/2,x≥7
d
f−1(x) does not exist
detailed solution
Correct option is B
f(x)=x3−1,x<2x2+3,x≥2 For f(x)=x3−1,x<2,f−1(x)=(x+1)1/3,x<7 (as x<2⇒x3<8⇒x3−1<7 For f(x)=x2+3,x≥2,f−1(x)=(x−1)1/2,x≥7 (as x≥2⇒x2≥4⇒x2+3≥7Talk to our academic expert!
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