Question

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

Answer 1

today i hav exam ...

Answer 2

first one just add them up

Answer 3

\[(f+g)(x)=f(x)+g(x)\]

Answer 4

show plzz i think adding is complicate

Answer 5

write them both down a stick a plus sign between them

Answer 6

no need to add??

Answer 7

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

Answer 8

only that much needed??what about fg?

Answer 9

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

Answer 10

\[fg(x)=f(x)g(x)\]

Answer 11

put them in parentheses next to each other

Answer 12

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

Answer 13

wow thx

Answer 14

i wish all math was this easy right?

Answer 15

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

Answer 16

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

Answer 17

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