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Consider the function

`f(x)=2^(-x)+5`

a. Compute the equation of the inverse function

`f^(-1)(x)`

b. Determine the domain and range of

`f`

c. Determine the equation of the asymptote of

`f`

d. Find the exact value of any

`x`

-intercept (as an ordered pair) of

`f`

. e. Find the exact value of any

`y`

-intercept (as an ordered pair) of

`f`

. f. Determine the domain and range of

`f^(-1)`

g. Determine the equation of the asymptote of

`f^(-1)`

h. Find the exact value of any

`x`

-intercept (as an ordered pair) of

`f^(-1)`

. i. Find the exact value of any

`y`

-intercept (as an ordered pair) of

`f^(-1)`

.