Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (geekfromthefutur):

I need help with algebra ll hmwrk

OpenStudy (geekfromthefutur):

|dw:1442715709951:dw|

Nnesha (nnesha):

okay what about it ?what's the statement ?

OpenStudy (geekfromthefutur):

Find the inverse

Nnesha (nnesha):

f(x) is same as y so replace f(x) with y \[\huge\rm\color{ReD}{ y}=\frac{ -12-2\color{blue}{x} }{ 3 }\] to find inverse(f^{-1}(x)) `switch x and y` \[\huge\rm\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{ 3 }\] now solve for y

OpenStudy (geekfromthefutur):

im stuck lol

Nnesha (nnesha):

alright its okay what u got so fr

OpenStudy (geekfromthefutur):

OpenStudy (geekfromthefutur):

Hows that lol

Nnesha (nnesha):

i have no idea what did you type into the calculator ??......

OpenStudy (geekfromthefutur):

The problem you showed me

Nnesha (nnesha):

there isn't any radical in my comment not even exponent what are you talking about ? o.O

Nnesha (nnesha):

|dw:1442716563503:dw|\(\color{blue}{\text{Originally Posted by}}\) @Nnesha f(x) is same as y so replace f(x) with y \[\huge\rm\color{ReD}{ y}=\frac{ -12-2\color{blue}{x} }{ 3 }\] to find inverse(f^{-1}(x)) `switch x and y` \[\huge\rm\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{ 3 }\] now solve for y \(\color{blue}{\text{End of Quote}}\)

OpenStudy (geekfromthefutur):

i put the x= one into wolf fram

Nnesha (nnesha):

do you know how to solve that equation for y ?

Nnesha (nnesha):

first we nee to get rid of the denominator at right side so multiply both sides by 3

OpenStudy (geekfromthefutur):

substitute y for f(x) then solve x in terms of y then switch x and y and then replace the y with f^-1(x)

Nnesha (nnesha):

yes right so how would you solve x in terms of y ?

Nnesha (nnesha):

\[\huge\rm\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{ 3 }\] first multiply both sides by 3

OpenStudy (geekfromthefutur):

ok so 3x-12 or

Nnesha (nnesha):

\[\huge\rm\color{green}{3}·\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{\cancel{ 3} }·\color{green}{\cancel{3}}\] multiply both sides by 3 at right side 3 cancels out then u get \[\huge\rm 3x=-12-2y\] now move the -12 at left side how would you do that would add ,subtract,multiply or divide 12 both sides ?

OpenStudy (geekfromthefutur):

multiply

Nnesha (nnesha):

hmm no it's `-12 -2y` -12 is subtracting with -2y so you should apply the opposite of `subtraction` which is addition so add 12 both sides

OpenStudy (geekfromthefutur):

ok add negative 12 to both or positive

Nnesha (nnesha):

it's negative 12 at right side so what is opposite of negative ?

OpenStudy (geekfromthefutur):

positive

Nnesha (nnesha):

yes so to cancel out -12 you should add

OpenStudy (geekfromthefutur):

yea

Nnesha (nnesha):

|dw:1442717916498:dw| let me know what you get

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!