Question icon
Grade 11Differential Calculus

2207_7579_scan0001.jpg

Profile image of sanket sit
16 Years agoGrade 11
Answers icon

1 Answer

Profile image of Saineel Sanjay Prabhudessai
16 Years ago

For x<0, f(x)= 1+x3. Therefore g(f(x))= g(1+x3)= (1+x3-1)1/3= x.

for x> or =0, f(x)=x2-1. therefore g(f(x))= g(x2-1)=( x2-1+1)1/2= x.

tore g(f(x))=x for all x belonging to (-infinity,infinity).

 

Thanks,

Saineel.