Inverse Function Question

Determine the expression of f^-1(x) for f(x)=e^x

First, find the inverse of f,

Now take the natural logarithm on both sides,

Second, find the inverse of g,

Now take their composition,

Let , now again find the inverse,

exponentiate both sides to base e,

Hope this helps :)

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option