Solve for letter d. What is the inverse function? Use the given function f to an

Question

Solve for letter d. What is the inverse function?

Use the given function f to answer parts (a) through (f) below f(x)- log (x+ 1)-5 10 10 10 10 10 10- (c) From the graph, determine the range and any asymptotes of f. The range of f is (- oo,00) (Type your answer in interval notation.) Determine the vertical asymptote of f. Select the correct choice below and, if ne A. The vertical asymptote of f is x= 0 B. There is no vertical asymptote. (d) Findf1, the inverse of f. f-1 (x)- (Simplify your answer.) -1 Simplify your answer.)

Explanation / Answer

f = log(x + 1) - 5

Step 1: Write f as y
y = log(x+1) - 5

Step 2 : Interchange x and y
x = log(y + 1) - 5

Step 3 : Now, solve for y...
x + 5 = log(y + 1)

e^(x + 5) = y + 1

y = e^(x + 5) - 1

Step 4 : Write y as f^-1(x)...

f^-1(x) is :

e^(x + 5) - 1 ------> ANSWER

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