Question

Find the inverse of f(x) = e^x + 7

Answer 1

f^-1(x) = ln(x - 7)

Explanation:

f(x) = e^x + 7

y = e^x + 7

x = e^y + 7

e^y = x - 7

ln(e^y) = ln(x - 7)

y = ln(x - 7)

f^-1(x) = ln(x - 7)