Question

Use the functions (x+1)/(x-3) and g(x)=(x+2)/(x+3) to find and simplify

ex 1. (f+g)(x)

Answer 1

Is f(x)=(x+1)/(x-3)

Answer 2

yes, sorry about that

Answer 3

Now, (f+g)(x)=f(x)+g(x)=(x+1)/(x-3) + (x+2)/(x+3) ={(x+1)(x+3) + (x+2)(x-3)}/{(x-3)(x+3)}

Answer 4

does that help?

Answer 5

why over x-3 x+3?

Answer 6

Take LCM

Answer 7

is it (x+1)(x+2)?

Answer 8

(f+g)(x)=f(x)+g(x)=(x+1)/(x-3) + (x+2)/(x+3)
={(x+1)(x+3) + (x+2)(x-3)}/{(x-3)(x+3)}
={x^2+3x+x+3+x^2-3x+2x-6}/{x^2-3^2}
={2x^2+3x-3}/{x^2-9}

Answer 9

got it?

Answer 10

no :(

Answer 11

nvm i got it

Answer 12

is that the answer?

Answer 13

Yes thats the answer

Answer 14

just simplified it

Answer 15

@YesterdayiSaidTomorow

Answer 16

thanks :)

Answer 17

welcom