Determine the equation of the inverse of y=2^3x-1
2 answers:
Answer:
f^-1(x)= 1/3+In(x)/3 In(2)
Step-by-step explanation:
Answer:
f^-1(y) =[ In(x-2) + 1] /3
Step-by-step explanation:
The inverse of this expression is to find x
Now taking In of both sides we have
y=2^3x-1
In y = In2^3x-1
In y = (3x- 1)In 2
(Iny / In2) + 1= 3x
x =[ (Iny / In2) + 1] /3
Therefore the inverse of y is
f^-1(y) =[ (Inx / In2) + 1] /3
f^-1(y) =[ In(x-2) + 1] /3
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