Question

if f(x)=√x and g(x)= x+1,then find the domain of (gof) (x) and compute (gof)(x)​

Answer 1

Step-by-step explanation:

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)

Answer 2

Step-by-step explanation:

if f(x)=√x and g(x)= x+1,then find the domain of (gof) (x) and compute (gof)(x)