SOLUTION: If f(x)=x^2-5x+8 & g(x)=x,which is an equivalent form of g(x)/f(x)? A.x-5 B.1/x-5 C.x/x-5 D.-1/5 Help.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If f(x)=x^2-5x+8 & g(x)=x,which is an equivalent form of g(x)/f(x)? A.x-5 B.1/x-5 C.x/x-5 D.-1/5 Help.      Log On


   

Question 612754: If f(x)=x^2-5x+8 & g(x)=x,which is an equivalent form of g(x)/f(x)?
A.x-5
B.1/x-5
C.x/x-5
D.-1/5
Help.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29%2Ff%28x%29+=+x%2F%28x%5E2-5x%29
As with any fraction, you should reduce it if possible. Reducing fractions involves canceling factors that are common to the numerator and denominator. So we have to factor them to see what their factors are and whether any of them can be canceled. The GCF in the numerator is 1 and in the denominator it is x:
g%28x%29%2Ff%28x%29+=+x%2F%28x%5E2-5x%29+=+%28x%2A1%29%2F%28x%2A%28x-5%29%29
We can see that the factors of x will cancel:


P.S. Please put multiple term numerators and denominators in parentheses. The way you posted them, answers B and C mean:
1%2Fx-5 and x%2Fx-5