Almaz S.
asked • 12/20/19I need help with this problem please!
Suppose
f(x)=(7x-9)/(x^2-6x+9)
Then f(x)=A/(x-3)+B(x-3)^2
Where A= B=
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2 Answers By Expert Tutors
Inactive Tutor answered • 12/20/19
Tutor
New to Wyzant
(7x - 9) / (x - 3)2 = A/(x - 3) + B/(x - 3)2
7x - 9 = A (x - 3) + B multiply all by (x - 3)2
7x - 9 = Ax - 3A + B
7x = Ax
7 = A
-3A + B = -9
-3(7) + B = -9
-21 + B = -9
B = 12
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Inactive Tutor
What are the directions for the problem? Graph the function? Identify vertical/horizontal asymptotes? Evaluate at a given x value?12/20/19