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payton05
24.07.2019 •
Mathematics
F(x)= 2x+7/x+1 . what is the inverse of this function?
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Ответ:
f ( x ) is also y
So
To find the inverse, reverse the places of x and y, let y be in the place of x and x in the place of y
↓
x ( y + 1 ) = 2y +7
xy + x = 2y + 7
xy - 2y = 7 - x
Take y as common factor
y ( x - 2 ) = 7 - x
Divide by x - 2 on either side to isolate y and thus find the inverse
y =
Therefore the inverse of the function is:
f ⁻¹ ( x ) =
Ответ: