1. Find the inverse of the following function. Find the domain, range, and asymptotes of each function.
Graph both functions on the same coordinate plane. f(x)= 7-e^-x

Question

1.  Find the inverse of the following function.  Find the domain, range, and asymptotes of each function.  
Graph both functions on the same coordinate plane. f(x)= 7-e^-x

anonymous · Answer

can you guys help me please?

anonymous · Answer

$$y=7-e^{-x}$$
$$x=7-e^{-y}$$ solve for $y$
$$x-7=e^{-y}$$
$$\ln(x-7)=-y$$ 
$$y=-\ln(x-7)$$

anonymous · Answer

@satellite73 I thought the inverse of the function was f^-1(x)=-1n(7-x)

anonymous · Answer

how exactly do I find the domain, range, and asymptotes?