if f(x)=(x+2)/(x+3) and y=f^-1(x) then dy/dx is equal to

Question : If f(x)=(x+2)/(x+3) and y=f^-1(x) then dy/dx is equal toSolution :Let the Given function \[z=\frac{x+2}{x+3}\] \[xz+3z=x+2\] \[xz-x=2-3z\] x=\frac{2-3z}{z-1} This is inverse of f in terms of the variable z. By replacing z by x, we shall obtain inverse of…

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