Given the functions a(x) = 4x2 + 2x − 3 and b(x) = x − 1, identify the oblique asymptote of a(x)/b(x)?

1 Answer
May 31, 2018

Please see below.

Explanation:

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I think you meant to input:

Identify the oblique asymptote of (a(x))/(b(x)).

The oblique (slant) asynptote exists when the degree of the numerator is one more than the degree of the denominator. You need to perform long division to find it:

(a(x))/(b(x))=(4x^2+2x-3)/(x-1)=4x+6+3/(x-1)

The equation of the oblique asymptote is:

y=4x+6

The graph below depicts the above solution:

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