Find the inverse function.?

Question

Find the inverse function.

f(x) = 23 + ln(x)

Answer 1

Start with y = 23 + ln(x).

Then interchange the x and y and solve for y to get the inverse.

x = 23 + ln(y)

x - 23 = ln(y)

e^(x - 23) = e^(ln(y))

e^(x - 23) = y.

f^-1(x) = e^(x - 23).

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It's pretty straightforward to check this result.