Question

given that f(x)=11/x-9 and g(x)=14/x+9 find f+g

Answer 1

Find a common denominator so you can add them together.

Answer 2

Is it

\[\frac{ 11 }{ x-9 }\]

or

\[\frac{ 11 }{ x } -9\]

Because that's a very important distinction

Answer 3

first one

Answer 4

\[\frac{ 11(x+9) }{ (x-9) }+\frac{ 14(x-9) }{ (x+9) } = answer\]

Answer 5

In that case, you need to find a common denominator, like hsrikako said. The easiest way to find a common denominator is to just multiply the two denominators together.

BUT, we can't just do that with equations, so we have to multiply by 1.

For example

\[\frac{ 11 }{ x-9 }*\frac{ x+9 }{ x+9 }\]

And then we multiply our second equation by

\[\frac{ 14 }{ x+9 }*\frac{ x-9 }{ x-9 }\]

This gives us a common denominator

So then we can add them together to get:

\[\frac{ 11*(x+9) + 14*(x-9) }{ (x-9)*(x+9) }\]

if we multiply everything out, we get:

\[\frac{ 11x+99 + 14x-126 }{ (x^2 -81) }\]

which simplifies to

\[\frac{ 25x - 27 }{ x^2 - 81 }\]

Answer 6

Yup.

Answer 7

Nope

Answer 8

can you help me figure the f/g out