If f(x) = x2 and g(x) = x + 6, find g(f(0))
please help me :)

Question

If f(x) = x2 and g(x) = x + 6, find g(f(0))
please help me :)

anonymous · Answer

anyone?????

freckles · Answer

f(0) means replace x with 0 in f(x)=x^2

freckles · Answer

once you do that we will move on the plug in whatever results from there into g(x)=x+6

anonymous · Answer

$g(f(x))$ at  $x=0$  is what is being asked
so plug in $0$ for $x$:$$g(f(0))$$what is $f(0)$:$$f(0)=(0)^2$$$$f(0)=0$$replace this value in $g(f(0))$:$$g(f(0))=g(0)$$now solve $g(0)$:$$g(0)=(0)+6$$$$g(0)=6$$
$$\text{OR}$$
the question asks to find the function of $g$ of $f$ of $x$
so everywhere in $g(x)$ that you see an $x$ you would replace it with $f(x)$:$$g(x)=x+6$$$$g(f(x))=f(x)+6$$$f(x)=x^2$ so:$$g(f(x))=x^2+6$$now plug in $0$ as the value of $x$ to find $g(f(x))$:$$g(f(0))=(0)^2+6$$$$g(f(0))=0+6$$$${g(f(0))=6}$$