Question

given that f(x) = x^2 - 81x and g(x) = x + 9 determine the simplified equation for the combined function (f(x)/g(x))

Answer 1

\[\frac{ x^2-81x }{ x+9 }\]

Answer 2

hmm

Answer 3

\(f(x) \div g(x)\rightarrow \dfrac{x^2-81x}{x+9} \)

Answer 4

you can try to factor the numerator and see if you can simplify

Answer 5

factor out the common term.

Answer 6

do you know what x =/=

(is not equal to)

Answer 7

hint: you cannot divide by 0. thus x+9 cannot be 0. solve for x to know what value cannot stand for x.

Answer 8

\[x+9\neq 0\]

Answer 9

ah ok

Answer 10

do the quotient and reminder

Answer 11

remaindeR*

Answer 12

\((x-90)(x+9)+810\)

Answer 13

so we have this buddy divided by x+9.

Answer 14

yes, which still leads to the simplification by fraction if we want to look for value of x

Answer 15

\(x(x-81): x = 0; x=81 \)

Answer 16

hey gane :)

Answer 17

why is she saying not equal?

Answer 18

because there is a domain: x cannot be 9. otherwise we get infinity. :(

Answer 19

wopps i meant -9

Answer 20

oh

Answer 21

happens :)

Answer 22

it is wrong :(

Answer 23

conjugate?

Answer 24

yeah

Answer 25

I thought of that but I was lazy to try it out

Answer 26

\but wait

it doesn't simplify :(

Answer 27

I mean if we are just looking for values of x, it is easy
factor or complete the square alone can take of that
but to evaluate, the function

Answer 28

maybe it is x^2-81, not x^2-81 xD .

Answer 29

i meant x^2-81x

Answer 30

it is x^2 - 81x no?

Answer 31

it is :(

Answer 32

complete the square for me

Answer 33

the numerator

Answer 34

not fun nin:
\[(x-\frac{ 81 }{ 2 })^2+\frac{ 6564 }{ 4 }\]

Answer 35

lolllll

Answer 36

wat lol

i broke my mind solving this buddy xD

Answer 37

i will never believe this will help us simplify out expression

Answer 38

GRRR