Find a formula for the inverse of the function. $y=\ln (x+6)$
A) $y=e^{x}-6$
B) $y=e^{x}+6$
C) $y=-6 e^{x}$
D) $y=6 e^{x}$
E) $y=e^{x+6}$

Name: Find a formula for the inverse of the function. $y=\ln (x+6)$ A) $y=e^{x}-6$ B) $y=e^{x}+6$ C) $y=-6 e^{x}$ D) $y=6 e^{x}$ E) $y=e^{x+6}$
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Question

Quizplus · Accepted Answer

To find the inverse of the function, we need to switch the roles of x and y and solve for y. 
$$x=\ln(y+6)$$
$$e^x=y+6$$
$$y=e^x-6$$
Therefore, the inverse of the function is y=e^x-6, which is choice A.

Find a Formula for the Inverse of the Function y=ln⁡(x+6)y=\ln (x+6)y=ln(x+6)

Find a Formula for the Inverse of the Function $y=\ln (x+6)$