Question

can someone please help me with an algebra1 question?

Answer 1

\[if, f(x)=\frac{ 2x }{ 2x+1 } and, g(x)=\frac{ 1 }{ 2x+1 }, find f(x)+g(x)\]

Answer 2

What did you get?

Answer 3

i dont understand how to solve it

Answer 4

You just need to find and simplify f(x)+g(x)

Answer 5

Do you know what f(x) and g(x) are?

Answer 6

well it says f(x) and g(x) are those fractions, but how do i simplify those fractions?

Answer 7

Well, you have \(\dfrac{2x}{2x+1}+\dfrac{1}{2x+1}\). Do you know what to do next? Note that denominators are same

Answer 8

do we cross cancel?

Answer 9

Say you have like \(\dfrac{2}{5}+\dfrac{3}{5}\) to solve, what will you do?

Answer 10

add the top and bottom?

Answer 11

so it would give you 4/10?

Answer 12

**5/10

Answer 13

no, it would give you 5/5

when denominator is same, you can add numerators, only numerators.

Answer 14

oohh okay i gotcha

Answer 15

So adding numerator together and you will have \(\dfrac{2x+1}{2x+1}\). make sense?

Answer 16

yeah!

Answer 17

so what's next?

Answer 18

hmm im not sure :/

Answer 19

you do noticed that numerator and denominator are same?

Answer 20

yeah

Answer 21

so would it become 1

Answer 22

right! so we have \(\dfrac{\cancel{2x+1}}{\cancel{2x+1}} = \dfrac{1}{1}=\boxed{1}\)

Answer 23

So we have f(x)+g(x)=1

that's your answer. is that clear?

Answer 24

yes that was clear! thanks for the help!! :)

Answer 25

welcome

Answer 26

could you possibly help me with another question?