Consider the function f(x)=ln(2x + 5). Find the inverse of f and call this function g(x). Evaluate g(4). Round to 1 decimal place.
f(x) = ln(2x + 5)
y = ln(2x + 5)
Interchange x and y: x = ln(2y + 5)
solve for y: ex = 2y + 5
ex - 5 = 2y
(ex - 5) / 2 = y
g(x) = (ex - 5) / 2
g(4) = (e4 - 5) / 2
Now, it's calculator time!