Find a function that has a vertical asymptote at x = - 7 and a horizontal asymptote at y = 5.

emancipezN

emancipezN

Answered question

2021-05-31

Find a function that has a vertical asymptote at x = - 7 and a horizontal asymptote at y = 5.

Answer & Explanation

Alara Mccarthy

Alara Mccarthy

Skilled2021-06-01Added 85 answers

A rational function in the form f(x)=ax−b+c has vertical asymptote x=b and horizontal asymptote y=c. So, we substitute h=−7 and k=5. For simplicity, we use a=1: f(x)=(1x(7))+5
or when simplified as a single expression, f(x)=(1x+7)+5
f(x)=1+5(x+7)x+7
f(x)=1+5x+35x+7
f(x)=5x+36x+7

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