Grade 12Differential Calculus
Sir how to find the inverse of the question D1 part 3.
Sir how to find the inverse of the question D1 part 3.
1 Answer
Aditya Gupta
to find inverse interchange x and y
so we have
x= ln(y+root(1+y^2))
e^x=y+root(1+y^2)
e^x – y=root(1+y^2)
squaring
e^2x+y^2 – 2ye^x = 1+y^2
or e^2x= 1+2ye^x
or y= inverse of f(x) = (e^x – e^(-x))/2
or f-1(x) = sinhx [hyperbolic sine]
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