nverse

1 Answers

f(x) = ln(x² + 3x +1)
let, y = ln(x² + 3x +1).
or, e^y = (x² + 3x +1).
or, x² + 3x +1 - e^y =0
0r, x= -3 Â± √9 - 4 + 4e^y2.
or, x= -3 Â± √5 + 4e^y2.

as x belongs to [1,3]

x can not be -3 - √5 + 4e^y2.

thus, the inverse is,

f^-1(x) = -3 + √5 + 4e^x2.

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