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.
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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
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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
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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
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