I keep getting different answers. I think my order of operations is wrong please help.

Question

anonymous · Answer

with?

anonymous · Answer

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). I've gotten crazy answers.

anonymous · Answer

lets do it nice an slow

anonymous · Answer

first we need $$f(2)=2^2-6\times 2-7$$ what do you get?

anonymous · Answer

$$f(g(x))= 8 (x²-6x-7)$$

anonymous · Answer

no it does not mean multiply

anonymous · Answer

i made a mistake
it is $$f(g(2))$$ so first we need $$g(2)=2^2-6\times 2-7$$

anonymous · Answer

it is just a number
what number do you get?

anonymous · Answer

what happened to the 8? we need f still

anonymous · Answer

one step at a time dear, nice an slow 
we will get to $f$ in a minute

anonymous · Answer

My class said to compose the equations together like 
f(g(x))=f(x²2-6x-7)
f(g(x))= 8 (x²-6x-7) 
and then simplify with the x replaced with 2 which should give you the other coordinate for the function.

anonymous · Answer

but $f(x)=x+8$ right? not $f(x)=8x$

anonymous · Answer

yes? is there something I don't understand?

anonymous · Answer

yes $f$ says to ADD $8$ to the input, not MULTIPLY it by $8$

anonymous · Answer

$$f(g(x))=f(x^2-6x-7)=(x^2-6x+7)-8$$ in other words

anonymous · Answer

ok that was wrong $$f(g(x))=f(x^2-6x-7)=(x^2-6x+7)+8$$

anonymous · Answer

which you probably want to write as $$x^2-6x+1$$

anonymous · Answer

dang still wrong !!

anonymous · Answer

$$f(g(x))=f(x^2-6x-7)=(x^2-6x-7)+8=x^2-6x+1$$ thats beter

anonymous · Answer

so then you would simply in the parenthesis with x substituted for 2?

anonymous · Answer

$$( x²-6x-7)+8 = (2²-6(2)+1)= 4-12+1=11$$

anonymous · Answer

... and again 11 is not answer

anonymous · Answer

oh wait that's 9! but its still not one of the answers. im so lost

anonymous · Answer

No no it's -7!! ( sorry i'm dyscalculic) and that is one of the answers!!