Question

If f(x) = 1/1-x and g(x) = (x-1)/x, than gof(x) is

Answer 1

$\huge \text{Answer:}$

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)