SOLUTION: Given that F(x)= 7x-3/2x+5 is ONE-ONE find the following.
a) D[f(x)]
b) f^-1(x)
c) R[f(x)]
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Question 1009324: Given that F(x)= 7x-3/2x+5 is ONE-ONE find the following.
a) D[f(x)]
b) f^-1(x)
c) R[f(x)]
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
f(x) = (7x-3)/(2x+5)
domain: everything except x = -5/2
inverse: y = (7x-3)/(2x+5)
y(2x+5) = 7x-3
2xy + 5y = 7x - 3
2xy - 7x = -5y - 3
2x(y - 7/2) = -5y - 3
2x = (-5y-3)/(y - 7/2)
f^(-1)(x) = (-5x-3)/(2x-7)
range: everything except 7/2
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