Find the inverse of the function $f(x)=ln(5x+1)-6$ ?

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Answer 1 · 2017-02-06T04:49:48

Inverse of $ln(5x+1)-6" "$ is $" "(e^((x+6))-1)/5$

Let $y=f(x)=ln(5x+1)-6$

Hence, $ln(5x+1)=y+6$

or $5x+1=e^((y+6))$

or $x=(e^((y+6))-1)/5$

Hence, inverse of $ln(5x+1)-6$

is $(e^((x+6))-1)/5$

Find the inverse of the function f(x)=ln(5x+1)-6f(x)=ln(5x+1)-6?