Consider the function f(x)=ln(x-3). Find the inverse of f and call this function g(x). Evaluate g(7). Round to 1 decimal place.
Write
y = ln ( x - 3) exponentiate both sides
e^y = e^ [ lh(x - 3) ]
e^y = x - 3 add 3 to both sides
e^y + 3 = x swap x and y
e^x + 3 = y and for y write g(x)
So
g(x) = e^x + 3
And
g(7) = e^7 + 3 ≈ 1099.6