The function 𝑓(𝑥)=𝑎𝑏𝑥+𝑐f(x)= bx+ca has a vertical asymptote at:
Question
The function 𝑓(𝑥)=𝑎𝑏𝑥+𝑐f(x)= bx+ca has a vertical asymptote at:
Solution
To determine the vertical asymptote of the function , follow these steps:
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Identify the denominator: The vertical asymptote occurs where the denominator is equal to zero because the function becomes undefined at these points. The denominator of the given function is .
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Set the denominator equal to zero: Solve for in the equation .
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Solve for :
Therefore, the vertical asymptote of the function is at .
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