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Mathematics 14 Online
OpenStudy (gabylovesyou):

Neveah has created the function f(x) = the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x represents the number of months since her last hair cut. Neveah discovers that, using the inverse function to solve for x = 6, she can predict when her hair will have grown 6 inches. Explain to Neveah how to accomplish this, using complete sentences.

OpenStudy (gabylovesyou):

@Nnesha

OpenStudy (gabylovesyou):

@ganeshie8

OpenStudy (alexandervonhumboldt2):

so find inverse function do thise steps: replace f(x) with y

OpenStudy (alexandervonhumboldt2):

then switch sides of x and y

OpenStudy (alexandervonhumboldt2):

solve for y

OpenStudy (alexandervonhumboldt2):

write as f^-1(x) instead of y

OpenStudy (alexandervonhumboldt2):

1. Substitute f(x) with y. 2. Reverse the x and y variables. 3. Solve for y. 4. Replace y with f (x).

OpenStudy (gabylovesyou):

so 6 = (2y + 4) / 3

OpenStudy (alexandervonhumboldt2):

yeah

OpenStudy (alexandervonhumboldt2):

solve for y now

OpenStudy (gabylovesyou):

6 = 3(2y + 4) ?

OpenStudy (alexandervonhumboldt2):

no

OpenStudy (alexandervonhumboldt2):

18==2y+4

OpenStudy (alexandervonhumboldt2):

y=7

OpenStudy (alexandervonhumboldt2):

when x=6 y=7

OpenStudy (gabylovesyou):

how did u do that tho ?

OpenStudy (alexandervonhumboldt2):

????//

OpenStudy (gabylovesyou):

nvm. i got it. thanks

OpenStudy (alexandervonhumboldt2):

ok

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