Question

What is the inverse of f(x)=ln(x-6)

Answer 1

To find the inverse of a function, simply switch the x and f(x). Then make it so that the equation is set equal to f(x). Also note that ln is the log of e:

f(x) = ln(x - 6)

x = ln(f(x) - 6)

e^x = f(x) - 6


`f^(-1) ( x) = e^(x) +6`