if f(X)=sqrt(x-3) g(x)=(x^2-2x+1)/(x^2-8x+12)
find (f+g)x anf fg

Question

aravindg · Answer

today i hav exam ...

anonymous · Answer

first one just add them up

anonymous · Answer

$$(f+g)(x)=f(x)+g(x)$$

aravindg · Answer

show plzz i think adding is complicate

anonymous · Answer

write them both down a stick a plus sign between them

aravindg · Answer

no need to add??

anonymous · Answer

$$\sqrt{x-3} +\frac{x^2-2x+1}{x^2-8x+12}$$

aravindg · Answer

only that much needed??what about fg?

anonymous · Answer

you feel like adding that? it will be a big stupid mess and will look even worse if you put it over one denominator.

anonymous · Answer

$$fg(x)=f(x)g(x)$$

anonymous · Answer

put them in parentheses next to each other

anonymous · Answer

i.e. replace the plus sign above by a times sign.  finished

aravindg · Answer

wow thx

anonymous · Answer

i wish all math was this easy right?

aravindg · Answer

what u  mean by general solution of cos x=1/2

anonymous · Answer

cosine is a periodic function, that is 
$$\cos(x+2\pi)=\cos(x)$$ so there are an infinite number of solutions to 
$$\cos(x)=\frac{1}{2}$$

anonymous · Answer

"general solution" means find some expression for all of them, rather than just one answer