Find an equation for the inverse function.
-$$f ( x ) = \ln ( x + 3 )$$
A) $f ^ { - 1 } ( x ) = e ^ { x } - 3$
B) $f ^ { - 1 } ( x ) = e ^ { x - 3 }$
C) $f ^ { - 1 } ( x ) = e ^ { x + 3 }$
D) $f ^ { - 1 } ( x ) = e ^ { x } + 3$

Question

Quizplus · Accepted Answer

To find the inverse function, swap $x$ and $y$ and solve for $y$. Starting with $y = \ln(x + 3)$, swapping gives $x = \ln(y + 3)$. Solving for $y$ gives $y = e^x - 3$, which matches choice A.

Find an Equation for the Inverse Function f(x)=ln⁡(x+3)f ( x ) = \ln ( x + 3 )f(x)=ln(x+3)

Find an Equation for the Inverse Function $f ( x ) = \ln ( x + 3 )$