F(x)= x^3-4x^2+9 and let g(x)=6x^3+x^2-5x-12 what is f(x)-g(x)
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Answer:
x - 1
Step-by-step explanation:
We know that, a slant or oblique asymptote of a rational function is the asymptote that helps in determining the direction of the function.
It occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
Now, we divide the numerator by denominator using long division method and the first two terms in the quotient ( forming a linear function ) is the equation of the oblique asymptote.
We are given the rational function, .
After dividing we get that, the quotient is x - 1.
Hence, the equation of the oblique asymptote is x-1.