Question

G(x)=sqrt(x+2)/5x and f(x)=1/x2 then domain of fog?

Answer 1

Step-by-step explanation:

Correct option is

E

[

2

3

,∞)

Given, f(x)=

x

and g(x)=2x−3

∴(fog)(x)=f{g(x)}=f{2x−3}=

2x−3

For domain of (fog)(x),

2x−3≥0⇒2x≥3⇒x≥

2

3

Therefore, xε[

2

3

,∞)