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Which function has an asymptote at x= 39

Which function has an asymptote at x= 39-example-1
User Mike Fikes
by
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2 Answers

5 votes

Answer:

The correct answer is b. f(x) = log7(x-39)


User SourD
by
8.0k points
4 votes

Answer:

option B :
f(x)= log_7(x-39)

Explanation:

(a)
f(x) = 7^(x-39)

For exponential function , there is no vertical asymptotes

General form of exponential function is


f(x) = n^(ax-b)+k


f(x) = 7^(x-39)

In the given f(x) the value of k =0

So horizontal asymptote is y=0

(b) lets check with option


f(x)= log_7(x-39)

To find vertical asymptote we set the argument of log =0 and solve for x

Argument of log is x-39

x-39=0 so x=39

Hence vertical asymptote at x=39


User Hume
by
8.3k points

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