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I would like to fit the data, y=0.0126,x=0.5 on the curve, y=1/(a + b*x**(c-1)) where a,b,c are constants. Is there a way to find possible combinations of a,b,c which will fit the data?

import matplotlib.pyplot as plt
import numpy as np
a=50
b=50
c=1.65

x = np.linspace(0,1,100)
y = 1/(a + b*x**(c-1))

plt.plot(x,y, 'r')
plt.show()

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