Posted by HELP!!! DESPERATE D; on Friday, June 1, 2012 at 4:56am.
First we calculate the non-vertical (slant) asymptote as the leading term in the quotient represented by f(x), that is:
(-9x3–5x2+4x–2)/(–7x2–9x+7)
=9x/7 + .....
So g(x)=9x/7 is the non-vertical asymptote.
To solve f(x)=g(x), we can set
h(x)=f(x)-g(x)=0 and solve for x.
Thus,
h(x)=(-9x3–5x2+4x–2)/(–7x2–9x+7)-9x/7
we need to take the common denominator of 49*x^2+63*x-49 and add the two terms together to get:
h(x)=(-(46*x^2-35*x-14))/(49*x^2+63*x-49)
h(x) will vanish if and only if the numerator vanishes, which is the condition:
n(x)=-(46*x^2-35*x-14)=0
You only need to solve the quadratic equation n(x)=0 and select the smaller root.
Note: you need to check that the denominator of h(x) does not vanish at the same point!
-(46*x^2-35*x-14)
Related Questions
CALCULUS HELP ! - f(x)=(-3x^3-x^2-9x-8)/(6x^2+4x+3. Find the equation of the non...
CALCULUS! - f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3) . Find ...
Math - Calculus - Find the equation of the non-vertical asymptote. What is the ...
calculus - f(x)=8x^3+1x^2–8x+2/–7x^2–;4x+9 Find the ...
calculus - Find the equation of the non-vertical asymptote. y=?? 5x^3+5x^2+8x-7...
CALC - f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical ...
Calculus - f(x)= (-5x^3 + 3x^2 + 3x -5)/(-8x^2 +2x + 7) Find the equation of the...
calculus - f(x) = (9x^3 - 1x^2 + 8x + 4)/(-2x^2 - 4x - 2) What is the smallest ...
calc - f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3] Find the equation of the non-vertical ...
calc - f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3] Find the equation of the non-vertical ...
For Further Reading
