Given:
The functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=x+6[/tex]
To find:
The value of g(f(0)).
Solution:
We have,
[tex]f(x)=x^2[/tex]
Putting x=0, we get
[tex]f(0)=0^2[/tex]
[tex]f(0)=0[/tex]
Now,
[tex]g(f(0))=g(0)[/tex] [tex][\because f(0)=0][/tex]
[tex]g(f(0))=0+6[/tex] [tex][\because g(x)=x+6][/tex]
[tex]g(f(0))=6[/tex]
Therefore, the value of g(f(0)) is 6 and the correct option is B.
