Question

If f(x)= x2 and g(x)= x + 6, find g(fo)).

Answer 1

Given:

The functions are

$f(x)=x^2$

$g(x)=x+6$

To find:

The value of g(f(0)).

Solution:

We have,

$f(x)=x^2$

Putting x=0, we get

$f(0)=0^2$

$f(0)=0$

Now,

$g(f(0))=g(0)$                $[\because f(0)=0]$

$g(f(0))=0+6$            $[\because g(x)=x+6]$

$g(f(0))=6$

Therefore, the value of g(f(0)) is 6 and the correct option is B.