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USPshnik [31]
4 years ago
6

What is the vertical asymptote of the function f(x) = 3 log(x + 3) is x?

Mathematics
2 answers:
Art [367]4 years ago
6 0
Hello,

\lim_{x \to -3} 3 log(x+3) =-\infty
x=-3 is the vertical asymptote.
vivado [14]4 years ago
6 0
<h2>Answer:</h2>

The vertical asymptote of the function f(x) the vertical asymptote of the function f(x) is :

                                   x= -3

<h2>Step-by-step explanation:</h2>

The vertical asymptote of the logarithmic function are the possible value of the x where the function tends to infinity.

i.e. \lim_{x \to ?} f(x)\to \infty

Here we have the function f(x) as:

f(x)=3\log (x+3)

so when x= -3

we have:

f(x)=3\log (-3+3)\\\\i.e.\\\\f(x)=3\log (0)\\\\i.e.\\\\f(x)\to \infty

Hence, we get the vertical asymptote is: x= -3

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y = mx + b

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The equation for the perpendicular line is

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To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

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