Question

Select the correct inverse function of f(x) = ex.f(x) = exf(x) = ln xf(x) = logbxf(x) = ln10x

Answer 1

For this case we have the following function:
 f (x) = e ^ x
 Rewriting we have:
 y = e ^ x
 We apply natural logarithm to both sides:
 Ln (y) = Ln (e ^ x)
 For logarithmic and exponential properties:
 x = Ln (y)
 Rewriting:
 f (x) ^ - 1 = Ln (x)
 Answer:
 the correct inverse function is:
 f (x) ^ - 1 = Ln (x)

Answer 2

Answer:

f^-1(x)= In (x)