Question

F(x) = X/x-1 and g(x) = 1+1/x find (g. f) (x) and (f. G) (x)​

Answer 1

Given f(x)=(1−x)21 and g(x)=ln(x)

gof(x)

=g(f(x))

=ln(1−x)1/2

=21ln(1−x)

∴ For the composite function to be defined 1−x>0

x<1

∴ Domain is (−∞,1)