Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the inverse of ( y = ln(x + 4) ). the inverse function is ( y = sq…

Question

find the inverse of ( y = ln(x + 4) ).
the inverse function is ( y = square ).

Explanation:

Step1: Swap \(x\) and \(y\)

\(x = \ln(y + 4)\)

Step2: Solve for \(y\)

Using the property \(e^{\ln a}=a\), we have \(e^{x}=y + 4\). Then \(y=e^{x}-4\)

Answer:

\(y = e^{x}-4\)